{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "83951c6d-01d3-4cd7-8f90-c382e79631e8",
   "metadata": {},
   "source": [
    "Chapter 6\n",
    "# 时间序列中的缺失值\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "02ce9317-b301-4d20-b28f-1231e93003ee",
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.datasets import load_iris\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas_datareader \n",
    "import scipy.stats as stats\n",
    "import pylab"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "859bb11e-4c3b-4db8-a57f-138e336be0f3",
   "metadata": {},
   "source": [
    "## 下载数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "4f26cb4a-fabb-4a24-9046-fa5536a34682",
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pandas_datareader.data.DataReader(['sp500'], \n",
    "                                       data_source='fred', \n",
    "                                       start='01-01-2021', \n",
    "                                       end='08-01-2021')\n",
    "df.to_csv('sp500.csv')\n",
    "df.to_pickle('sp500.pkl')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d8003f15-19fa-4b55-9d3c-c701bacbbcdf",
   "metadata": {},
   "source": [
    "## 随机插入缺失值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "63bf3930-1abd-428e-b314-b28f8754c136",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<bound method NDFrame.tail of               sp500\n",
       "DATE               \n",
       "2021-01-01      NaN\n",
       "2021-01-04  3700.65\n",
       "2021-01-05      NaN\n",
       "2021-01-06  3748.14\n",
       "2021-01-07  3803.79\n",
       "...             ...\n",
       "2021-07-26  4422.30\n",
       "2021-07-27  4401.46\n",
       "2021-07-28  4400.64\n",
       "2021-07-29      NaN\n",
       "2021-07-30  4395.26\n",
       "\n",
       "[151 rows x 1 columns]>"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df_NaN = df.copy()\n",
    "\n",
    "mask = np.random.uniform(0,1,size = df_NaN.shape)\n",
    "\n",
    "mask = (mask <= 0.3)\n",
    "\n",
    "df_NaN[mask] = np.NaN\n",
    "df_NaN.tail"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "00fba0a0-3069-4f4c-8683-b660c3cac623",
   "metadata": {},
   "source": [
    "## 向前"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "89e5c156-009f-4b03-a807-24412e019c35",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_NaN_forward  = df_NaN.ffill()\n",
    "# ffill() is equivalent to fillna(method='ffill') "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "78662306-44a8-4a16-91ba-b3532ba7bd64",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAkQAAAHBCAYAAACIdaSsAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8g+/7EAAAACXBIWXMAAA9hAAAPYQGoP6dpAACSCklEQVR4nOzdd3xUVfr48c/MJJnUSYMQSmghoXdcCYqioajoqut+FcvqWhd/6ADZVWR1XXVVsGwCIyoq1gUWdO0gQgxSJKEK0kkIHRIC6YW0mfv742aGmTRmQpJJed6vV17J3DbnXgLz8JxznqNRFEVBCCGEEKId07q7AUIIIYQQ7iYBkRBCCCHaPQmIhBBCCNHuSUAkhBBCiHZPAiIhhBBCtHsSEAkhhBCi3ZOASAghhBDtngREQgghhGj3PNzdgNbAYrFw5swZAgIC0Gg07m6OEEIIIZygKAqFhYV06dIFrbb+HJAERE44c+YMERER7m6GEEIIIRrg5MmTdOvWrd5jJCByQkBAAKA+UIPB4ObWCCGEEMIZBQUFRERE2D7H6yMBkROs3WQGg0ECIiGEEKKVcWa4iwyqFkIIIUS7JwGREEIIIdo9CYiEEEII0e5JQCSEEEKIdk8CIiGEEEK0exIQCSGEEKLdk4BICCGEEO2eBERCCCGEaPckIBJCCCFEuycBkRBCCCHaPQmIhBBCCNEiJSSmYkpKq3WfKSmNhMTURnsvCYiEEEII0SLptBriawmKTElpxCemotNeeo0yZ8nirkIIIYRokYyxUQDEJ6ZSklfIbR0V1lQYiE9MJW5CtG1/Y5CASAghhBAtljE2irLiC7ydfJKFigKazEYPhkC6zIQQQgjRwp1fu1H9QaNBqyiNHgyBBERCCCGEaEGqD6T+efFKlnv3tL22aDTM/6nxBlNbSZeZEEIIIVoM60BqgPv7B/LErxfAy4dO5guc1fkAkPBTGhqNRsYQCSGEEKJtsh9I/dmqCxR7+eBdWcZZDx/6ledy0CuY4eY8W9DUWEGRdJkJIYQQokUxxkZxa2QA5z18QFEo9dATNyGavw0NBOB0Gcy4vg9mi9Jo7ykBkRBCCCFanJdC89BaLKDR4KXTYrYo7A6LxFBWTJZvEKOLTjNzQjTQOEUaW0xANHfuXDQaDTNmzKixT1EUbrzxRjQaDd98843DvhMnTjB58mR8fX0JCwvjqaeeorKy0uGYdevWMWLECPR6PX369OGTTz5puhsRQgghxGX7dH8eFq0WL8VMudnCtmM5mNYfJUJbDsArKRmYktJqLdLYkACpRQRE27Zt47333mPIkCG17p83bx4aTc1qlGazmcmTJ1NeXk5ycjKffvopn3zyCc8//7ztmKNHjzJ58mSuu+46du3axYwZM3jkkUdYvXp1k92PEEIIIRrOlJRGfFEocRsXk8om4iZEk5yezZjIUPZ5BgNw2OJNfGJqjSKNDa1i7faAqKioiHvvvZcPPviA4ODgGvt37drFv//9bz766KMa+9asWcP+/ftZvHgxw4YN48Ybb+Rf//oXb7/9NuXlagS5cOFCevXqxb///W/69+/PE088wR//+EcSEhKa/N6EEEII4RprQBN3divG5GXQuzfG2ChbUDS6lxorXPD0tp1zbHcah39cj+mjn4hPTGVMN3+XB1u7PSCaNm0akydPZvz48TX2lZSUcM899/D2228THh5eY39KSgqDBw+mU6dOtm2TJk2ioKCAffv22Y6pfu1JkyaRkpJSZ5vKysooKChw+BJCCCFE0zNbFDXjs+ULdUNkJIAtKLqydwe0iuNg6q/OKoz/uZD41DLGHPuN5FNFmF7+DBTnB127ddr9smXL+PXXX9m2bVut+2fOnMmYMWO49dZba92fmZnpEAwBtteZmZn1HlNQUMCFCxfw8fGpcd05c+bw4osvunw/QgghhLg8MydEg8UCR46oG3r3tu0zxkZhSkrDotGgQ8GMhl6leRzTB6JoNHiZK1m6+X1MJ2OIH3sfpU++5vT7ui1DdPLkSaZPn86SJUvw9vausf+7775j7dq1zJs3r9nbNnv2bPLz821fJ0+ebPY2CCGEEO1WRgaUlYFOBxERts227rQJ0aTPvZm4CdEc9Q5SgyGdlnKdB6ZFazDeczVxm5ayIHS402/ptoBox44dZGVlMWLECDw8PPDw8GD9+vWYTCY8PDxITEwkPT2doKAg236AO+64g3HjxgEQHh7O2bNnHa5rfW3tYqvrGIPBUGt2CECv12MwGBy+hBBCCNFMrNmhHj3A0xNwDIZqGx/0xPV9iJsQTfxPaZj6TcQYPwNPc4XTb+m2LrPY2Fj27NnjsO3BBx+kX79+zJo1iw4dOvCXv/zFYf/gwYNJSEjglltuASAmJoZXXnmFrKwswsLCAEhMTMRgMDBgwADbMT/88IPDdRITE4mJiWmqWxNCCCFavYSqmVq1BR+mpDTMFsVWB6jR1dJdZhtbVG02WVxVG+zbE5+YyubIUCp0nk6/pdsCooCAAAYNGuSwzc/Pj9DQUNv22gZSd+/enV69egEwceJEBgwYwJ/+9Cdef/11MjMzee6555g2bRp6vR6AqVOnsmDBAp5++mkeeugh1q5dy+eff87KlSub+A6FEEKI1st+TTH7oKh6INIk0tPV73YBUfXgq3qAZGWMjWLzkWyS07N54ro+zJrn3Fu26rXMdDodK1as4PHHHycmJgY/Pz8eeOABXnrpJdsxvXr1YuXKlcycOZP58+fTrVs3Fi1axKRJk9zYciGEEKJls19TDODxcZG8uy693m6rRlNLhqi6urJTpqQ0ktOziZsQzZ+v6MQsJ99SoyguzElrpwoKCggMDCQ/P1/GEwkhhGhXXlt1kHfXp6tT2DWapg+GAMaMgZQU+OIL+OMfXTrVvqvPlc/vVp0hEkIIIUTTmh7bh3fXHYaqqe5NHgyBUxmiujR0XJMEREIIIYSo0/ur90HV8llmNMz/KRWLQtMNuC4uBuvs8AYERA3l9krVQgghhGiZTElpxG86xf9LXo5fWQkACT+lse1YDvGJqZiS0moe34B1xBxYs0PBwRAU1PDruEgyREIIIYSowTabrLsF8y9m+p07xo5uA+hWmkdyOoyJDFWntx/J5oqeIbZZaZc9xsgaEFUt2dFcJCASQgghRA22ae2HEjEpFnZ0G4DWYuaUdxB39/QmrGcI509nkZyeTUr6eRQaacD1ZYwfuhwSEAkhhBCiBtsYoKSP1VXnr7ySeC812Mnac5Df0jJI9VRXnlfQ4FnHmCKXuSkgkjFEQgghhKhb1XqexvBy/hTtD0BSQE/2ewari7BWqbAoNcYUNYibuswkIBJCCCFE3U6dUr9368a/HroWjbV8oaKAVstdEeryGFqLudaB1i6rpUp1c5CASAghhBB1q8oQERGBKSkNRaNBg1qkcUxkKOHRPYkozcOi1TG4MtchKDIlpZFQVenaXkJdgZPFgilsFAlX3SMBkRBCCCGaTp3BCLUEMIpiyxCZzurtZpFFMyYylOT0bLYdy+GkdxAABzX+PDI0FHNV91ldU/CtM9JqTNv/difxY+5GpwG6dWuU+3WWDKoWQggh2hGXFm09fx7KyjCNmUL89nM1ZpFZz7EGRxU6T0q3/Yph8oR6p+BXXyfNGBulXmtLJnEbF2PM2g4ezRuiSEAkhBBCtAH2a3hVZ1892j4Yycs4x7XafH7r1Kf2AKYqO2QOCKhzZXlQp+h3Lc3ni9OVLPbsDk7UI7JvR8KaQygaDXGHk9QZbRMnXtazaAgJiIQQQog2wJXMjzE2isqyckwbjvERAHUEMFXjh2Zm74Q6ghvbOROi+WLWCtBo8NDg1BR8Y2wU8VXBkIe5EuOXCeqOYcOcueVGJQGREEII0QbU2Q1VR7am495fgRCAuhdttZthdimmpDTbmmeVivr6UkHRm9/vvniOzgPT68swRihw882XfL/GJoOqhRBCiDbCGBtF3IRo4hNT6TVrhRoMnfwFY/wM2LTJdlzFhVJez/S2vTajqX2gtXWG2SUCImvgda1XMQC9y3IvOQXflJTGgk3q9TsX56jtzvbH1HEk+Ps7eceNRwIiIYQQog0xxkaBolzshlo6l4T8IEz/+ABS1ezRtDdXUujlazvHt7Ks9gDGmiGKiKjz/RyyUFeGA1Bg0TJzfFSdQdHFAKoIgEGWAodgrlEKPLpIusyEEEKINuT1r3c6dkPN+wpdSgrxPa+FpxdgefgR1hSr2aFhlXns8giiTOPB9Ot61xyD5ESGyLbmWWwUpYVd8FyXyHmfQP7QUUEzIRqzRanznCPfrAE/fwaHeDm8b23nNDUJiIQQQog2wpSUxjtbzgDQqzCL2/9wtZq9uftu4t59l/hht9Lnh60Q2BnvijJ2eQbhVVlOuYcXN3gXo6sewDiRIZppN1jbO8CPAcVZ/Gboys7kPRgf/2O958R+tRGAwX272PY1ynpoDSBdZkIIIUQbYO2GGq0pAGC4ruRiN1TKGbj7bmYm/5fDgZ0BKPXUEzchmuElmQDs23UYY2zUxQDHriijK0USh/lUArAr/Vy9xxWdz+WIf0cABo0Z6vT1m4oEREIIIUQbYO2G8srPBWB41wDg4kBrc5eu9P+/m2zHe+rUmkUDq4YS7TuZ43jBqqKMAHTt6nQ7hvfqAMDOkvpDjP2bdqFotIQX59Kxd/NWpa6NdJkJIYQQbcDMCdFYKs0MW6EGJMNH9bXts3ZDzQM4nYZOAxVmdXmNARHBkAH7qgcw1vFDnTqBl5fT7RgWMwi+OMo+3zDKS0rx8vWu9bg9e48DHRlkyXf62k1JMkRCCCFEG3Fk+14K9H54V5TR96phDvtMSWnMS0ojbkI06XMm22Z0/eavzgw7oA9FsVgunuDE+KHa9Bjej+DSQso9vDiw8dc6j9t7Vp2ibx1Q7W4SEAkhhBBtxK+b9wMwpCQLT2+9bXttBRqtXWn/SStGZ66kUO/Lyd12C7s6WYOoOo1Wy7DybAB2/lr39Pk9Zh8ABkd3qfOY5iQBkRBCCNFG7DyujgMabnDcbj813p41KAqtLAFg37YDF3c2IEOUUFVDaFiIJwC7zhTZ9pmS0kiomtZfnJNPum1A9RCnr9+UJCASQggh2oidZWpWaHh0uMP2mfUstGqMjeI6RQ2k9h3JurijARki63pqx0PVc3YpfsDFDJVOq9ZH2v/LTtuA6rBI17rkmooMqhZCCCHagKLzuaT6hwEwfOxwl84dGB4AebA/v/LixgZkiKqvp3bMvyOv/W87724/y+iewbbj9uw9hv2AalNSGmaL4lDTqLlJQCSEEEK0UglVWRdjbBS71+3AotXRtTibTtE9nAoyrOdfNagn/FLIPo9A2z6T/wDMV3VlpotjiKoHRe9uP0vcxsWwEeLH3gc52RzLLAbfjgwO9nQY3+ROEhAJIYQQrZS1iwpAt+cY0JlhSqHTQYb1/PKru6NR8jnrG8z5Y6dZeriY+EGT1UDGxVlmoAZF8xIPYUGDzmLGmLzMti+e+whBzRYdDe7CN9UGe7uLBERCCCFEK2Wfjeld5g16KArpUGNGmTPnB5eXkKv359UvtvNVtgdxGxdjTFkOXT51uV2mpDQsaPDUaahAh2nFbowRCsannqJi039566q7AfjmnKZFBEMgg6qFEEKIVs0YG8XM8VEc0atZl/Xl/i4FGdaZZrl6f4CLwVDyMpeLMoLjFP+0V25S6x1tPIHpnA/8+CO3PjlFXRYE8NJpW0QwBBIQCSGEEK3e7cEVtp+tS3K4whgbhQ41SNHad3HddZdL16mv3lF8YiqmtYf5IbQvaNTsUbnZgimp7lpFzUm6zIQQQohWbnnibsCATrFQYdZiSkpzKSgyJaVhtu/iWnMQ4/V9QKdzqR311TsCSE4/z+YjObZjrAGU/THuIgGREEII0YqZktJ4O8+gdnNN6Itp7L0uBRnVszq2IEXrenfWpabN2wdD9u1rCUGRBERCCCFEK2ULZnZ+o3ZzvfIzxnHOBxl1dXE5e74rLpU9MluURnmfhpKASAghhGilzBaFuOHBGF9bBHo9jB4NOB9kNGeQUl/2yN3dZdCCBlXPnTsXjUbDjBkzbNv+8pe/EBkZiY+PDx07duTWW2/l4MGDDuedOHGCyZMn4+vrS1hYGE899RSVlZUOx6xbt44RI0ag1+vp06cPn3zySTPckRBCCNG0Zk6Ixpi7W30REwPe3rZ9xtioS3ZhXWpJD3dWjm5uLSIg2rZtG++99x5Dhjgu8DZy5Eg+/vhjDhw4wOrVq1EUhYkTJ2I2mwEwm81MnjyZ8vJykpOT+fTTT/nkk094/vnnbdc4evQokydP5rrrrmPXrl3MmDGDRx55hNWrVzfrPQohhBBN4uef1e/XXefedrRyGkVR3NppV1RUxIgRI3jnnXd4+eWXGTZsGPPmzav12N27dzN06FAOHz5MZGQkq1at4uabb+bMmTN06tQJgIULFzJr1izOnTuHl5cXs2bNYuXKlezdu9d2nSlTppCXl8ePP/7oVBsLCgoIDAwkPz8fg8Fw6ROEEEKI5qAoEB4OWVmwfj1cc427W9SiuPL57fYM0bRp05g8eTLjx4+v97ji4mI+/vhjevXqRURVGfGUlBQGDx5sC4YAJk2aREFBAfv27bMdU/3akyZNIiUlpZHvRAghhGhmBw6owZC3N1x5pbtb06q5dVD1smXL+PXXX9m2bVudx7zzzjs8/fTTFBcX07dvXxITE/GqqpqZmZnpEAwBtteZmZn1HlNQUMCFCxfw8fGp8Z5lZWWUlZXZXhcUFDTsBoUQQojLZL+Aa3Wmb37FfNU9zPQ+qw6qFg3mtgzRyZMnmT59OkuWLMHbbhBYdffeey87d+5k/fr1REdHc+edd1JaWtqkbZszZw6BgYG2r4gGLGwnhBBCNFRCYqqtgrN1AVbra1NSmm1/fEEwOsUC48a5sbVtg9syRDt27CArK4sRI0bYtpnNZjZs2MCCBQsoKytDp9PZgpKoqChGjx5NcHAwX3/9NXfffTfh4eFs3brV4bpnz54FIDw83Pbdus3+GIPBUGt2CGD27NnExcXZXhcUFEhQJIQQotnYr2JvXxdo85FsktOzGRMZSnJ6NnE7vlLrD73+izub2ya4LSCKjY1lz549DtsefPBB+vXrx6xZs9DVUi5cURQURbF1Z8XExPDKK6+QlZVFWFgYAImJiRgMBgYMGGA75ocffnC4TmJiIjExMXW2Ta/Xo5fUoxBCCDexD4IURWFKdz0/+mtITs9GoyhqMFRyAONPH4GvL1xxhZtb3Pq5LSAKCAhg0KBBDtv8/PwIDQ1l0KBBHDlyhOXLlzNx4kQ6duzIqVOnmDt3Lj4+Ptx0000ATJw4kQEDBvCnP/2J119/nczMTJ577jmmTZtmC2imTp3KggULePrpp3nooYdYu3Ytn3/+OStXrmz2exZCCCGcZYyNorKsnISf0kiw265oNOgsZoxvPaVuuOYal1ekFzW5fZZZXby9vdm4cSM33XQTffr04a677iIgIIDk5GRbNkin07FixQp0Oh0xMTHcd9993H///bz00ku26/Tq1YuVK1eSmJjI0KFD+fe//82iRYuYNGmSu25NCCGEcEp+0vqLL6qq5GgVBbNWh+mZt+H552HBAje1rm1xex2i1kDqEAkhhGhq1WeTJX22kof3q/s0gAKMiQxl6aOja12DTNTkyue3rGUmhBBCtAD2A6mn9PTmid9KwdMbf0sFRVpPIoJ9SE7PxpSU1qJWiW8rJCASQgghWgD7IOfDigtc8PTBt6KMIk99jcyQ/fHuXiW+rZCASAghhGghjLFR/LojjXU5PqAolHjqHbrFqgdBkhlqPBIQCSGEEC3IK2V7uVrpj6LR4qXT1gh6JAhqGi12lpkQQgjRHn15slwNhrBQbrbYKlSLpiUBkRBCCNFCmJLSiA8ZTtzGxaRer3aX2S/bIZqOdJkJIYQQLYBtKv3GxepyHEPnYaxanFxmkzU9CYiEEEKIFsBsUYjr74vxtWXQqZP6hcwmay4SEAkhhBAtwMwJ0fBBVWXqIUMc9klmqOnJGCIhhBCipfjtN/X70KHubUc7JAGREEII0VJIQOQ2EhAJIYQQdhLqmdVlSkojoWqAc6NTFNi9W/1ZAqJmJwGREEIIYce6plj1oMg6C0yn1TTNGx8/DgUF4OkJ/fo1zXuIOsmgaiGEEMKO/Zpix/cc5v+669kaGNH0q8tbu8sGDFCDItGsJCASQgjR7iVUZX7s1wz77Zff+DLThy8zSkDTxMEQyPghN5MuMyGEEO1e9W6yle9/xdoSvbpTowFFYaJngcM5zo4ncnpMkowfcisJiIQQQrR7xtgo2zIZf523ihlpWhSN3UekRsOdX6eTffwM4Np4IqfHJEmGyK2ky0wIIYRADYoyD59k6dELoFPH8MT0CmFYmDfvbjlDgd6P3yes4483DGf+uiNOd6HZj0lauu4Q13X3p3Pvro5jkoqKMIWNwtzpd8ysVpRRNA8JiIQQQrQ71ccMAZzad5jEfRngGwSAVgP//UsMABfyi/jkYAGnvQNdCoasjLFRHDh4klUnL/Df9GJIT+XJsT1s1zD9byvxY+8jbuc30LFjo92ncJ50mQkhhGh3qndjFWTl8PDb6zlXFQxpAIuCbf8Lfx6Llqq1xBSlQYOrXwkrQGux2F5/9tN+khcuw/TOCuIPXlAXddWeuqz7Eg0nGSIhhBDtjn03lrmykl+/XcchQ3cARob78uWM62xjfKwsVI310WiI/2EfcTcNdOk9F6eXYNEG4mExU6nVka/3455j6j7bCvezZl32vYmGkYBICCFaqdq6faxMSWmYLYq6YKiolTE2CkVRSPgpDaqCoSHBHnw54zrbfsAWFM0cH8V/v91Kpl8wpg3H8NB7OZ0pMiWlEZ8XqAY+AwN44+YneDv5JACelkqMlUdgwgR45JHGvk3hJOkyE0KIVsptFZVbmMtZauOJrB22biwtCt/NmlTrcaN7hzB9fDQTqqbeD6rIrfXZ19WG+MRU4spS1SxQWBh6Px/b/gqtB6ZXF8OaNdCnzyWvJ5qGBERCCNFK2U8Vt34w2z58m7qIYAvS4MDwwAHefn8VFq0WDyxY0NS4htmiEDchmmWPqYOrJ/4uEoDMSi0zYvtgtiiXbJ/1GsZTyWq7fPra/oziJkQzuneI08GVaDrSZSaEEK2YMTYKxWIhPjGVhDWHUDSadhUMQc2uLWNs1KUDw+JiTLPfJX70XcSd2oTx039hWnfE4RpAjS7HK39/LQFbvue8TyBjy88ycvI1l2yf7RovnsU0ZgrxhSEO7bJvr/17i+YlAZEQQrRyN/gUkwAoGg2e2vb5gWofFNkCw9PJGOckwJyax5v8BxDfbxJxO7/B+NnLoNPVGlhV9/amE3TRlHEIX9Zs2O8QEF1y3NbZs5g7RhAXVXPskfW1Mxkn0TQkIBJCiFbu9aQjgDompcKifjC3x6Bo2jW9iK8KhjzNFRgXv1rnsearOhG3aSnGV6dCp0627ZcKTHRaDYe8ggFILNIzu2q7fUaqTllZzExdCh88V+vu9vhn1pJIQCSEEK2YKSmNpAsXB+he41nUbrte/rUkxbbuWIXOE1P8/zB2Kqv12JkAV1wBUTWfUX3PzRgbRVnxBd5OPsmRgDAOb97ND8U+lx63VVYGeXnqz3YBmGg5JCASQohWypqVCCwrJl/vB0B4wXnifj+i3QVFpqQ0PjmozgAbXnia6+64Xn0GQ4Y0+jN46vdDWLF2D8e9g5j01THMWh1x+3/AqN8KsS/WflJWlvrdwwOCgxu1PaJxyCwzIYRopcwWhb+MCrcFQwCHyz1ss8/ay3gUa2A4SskHYKC3udYZeI3pkV7qWmdmrQ6vygqM378Dc+aAXSVqB2fPqt/DwtQslmhxJCASQohWauaEaIbnqcX9fMtLATjsHYxisWCMjWo3RRmt09q9C/MAGNg1EKBJA8PTUYMB8NRAuYcnpqvvgYoKyMio/QRrhki6y1os6TITQohm0hSVpXekZoC2OzeZM/nKEkGB3o9zR08TFhnRWM1u8WZOiEaxWBjx/Q4ABg2NtO1rii5DU1IaCzdcXODVlJRGPPeAxYLx2DHo2rXmSdYMkQRELZZkiIQQopk0RWXp7UXqP+Nj+nSge0kOAId3Hrr8xrZA9VWkfuXzbeR6B+BhriQ6ZmiTtaG2+kbG2CjiTv5C/Nj7MG2pI0MkAVGLJxkiIYRoJg51biwWjN3BtCub+J25xP2uk8vZjNKCIvb6qR+wo8YOpc/BJI7RkcPpZxjT6K13P2tACY6ZH1NSGot2nQegT/E5h2UxGput6nT1OkJembBxMebY8bWfaD+GSLRIEhAJIUQzsg+KFlRWUO7hqS74+doyWLQIHn7Y6Wvt+XkbFTpPOlzIJ2JINJH+6/gJOHy2qIla3zSc7UqsryL1aE0BmxUDAz1rn2bfWOrs0uzZE+MnL8DAAKCWP0MZQ9TiSZeZEEI0M+OoMLyqgiEvcwXGPSvVHSYTKPUPALbvNtq+6wgAo8y5aLRajgZ0BOBwaeuaxVRXV+KU91NqdCUaY6N4eLC69lfv2Stt3Vf+BWp34cBOfrhFz57q92PHat8vXWYtXosJiObOnYtGo2HGjBkA5OTk8OSTT9K3b198fHzo3r07RqOR/Px8h/NOnDjB5MmT8fX1JSwsjKeeeorKykqHY9atW8eIESPQ6/X06dOHTz75pJnuSgghajItS64Khiop13liWvoLeHnB7t2wa1e959oHDzuy1Jllo8J9MSWlsabIG4DDHoamvoXLUn0skP0U+bvfTyF+zSFMSWlsPpJT49xt361nya/qOB2LAl46LcbYKPZr1XseOKB789xEdT16qN8lIGq1nO4ye+mll5w67vnnn3e5Edu2beO9995jyJAhtm1nzpzhzJkzvPnmmwwYMIDjx48zdepUzpw5w//+9z8AzGYzkydPJjw8nOTkZDIyMrj//vvx9PTk1VfVku1Hjx5l8uTJTJ06lSVLlpCUlMQjjzxC586dmTRpksttFUKIy2FKSiP+qEXtJuvtgenPz6tdQH/+B8b3/wEffwzDh9d5vn23kbd3ZwAOd4hgWWIq02K68XbKKbJ8g8g/m01gp9BmuSdX1TYW6P9d3YMVGw+QciSHzenZtrXICA4mPhEoL6fH0f3EHdVj9tTbrlVutvDa1zs54xcCwICrhjX37aisGaLjx9VaRNpq+QYZQ9TiaRTlEvnZKsPr+Quq0Wg4dOgQpaWlmM1mlxpQVFTEiBEjeOedd3j55ZcZNmwY8+bNq/XYL774gvvuu4/i4mI8PDxYtWoVN998M2fOnKFTVdS9cOFCZs2axblz5/Dy8mLWrFmsXLmSvXv32q4zZcoU8vLy+PHHH51qY0FBAYGBgeTn52MwtOz/eQkhWi7bDKUzKRj/8wq88w48/vjF7RsXYzy4Bs6cAb2+3mu98OkvfHIgX+1is1vh/krjYs76BvPlNQZG3jS2me5M5UpZAes9Pzm2J6G7txOf5UOBXYFJr8oKUv99OwDzx0whYex9DtfrXZbLEX0w/ctzOVC1tliPonOsX/DnJrq7S6isBG9vMJvh9Gno0uXiPrMZPD3VP6uMDAgPd08b2yFXPr+d7jLbuXNnrV8ff/wxYWFhVFRU8Oijj7rc2GnTpjF58mTGj69jZL4d6w15eKiJrZSUFAYPHmwLhgAmTZpEQUEB+/btsx1T/dqTJk0iJSWlzvcpKyujoKDA4UsIIS6X2aIQF9sH4zcmdcMYdS6YMTaKuNg+mA2BkJMDK1Zc8loD8k6pP2g0tm4jgKhK9d+r9NRTjX8Dl+BKWQFjbBQzxkfx1sZjvJDfgQK9Hx5mdbiDp0ZRix2++TkYjfw5Z6/D2KqZsX2In9QLgDRdAMPNeQB4ebpxnpCHB3Trpv58/LjjvvPnbYErHTo0f9uEUxo8hujo0aPcd999XHHFFQQGBrJv3z4WLlzo0jWWLVvGr7/+ypw5cy557Pnz5/nXv/7FY489ZtuWmZnpEAwBtteZmZn1HlNQUMCFCxdqfa85c+YQGBho+4qIaD8FzoQQTWfmhGh1sdHCQvD3h0GDbPvMaNANrRo28PHHDueZktJIqOpistp7Qh1fo1MslJsttiCkT9WM88MZjuMtm4P9WKCXv9jOU298Q/yq/XUufDqj8ghai9qroEGhUudB3IRo0ubcrF7nnC+m3z/Bp299CRoN1nBKo9Xys64jEaV5VOo8+E0TAEBHXzUgqu15NYu6xhFZu8tCQ9XASbRILgdE58+f58knn6Rfv35kZGSQnJzM8uXLiaplxeD6nDx5kunTp7NkyRK8vb3rPbagoIDJkyczYMAAXnjhBVeb7LLZs2eTn59v+zp58mSTv6cQop3YtEn9Pno06HS2zTqthnh6YBozBX780bYERG3ZFVNSGp959iBu42LSB+Y6rNkV2UkNDg4XujZ8obEYY6OYOT6KRTvO8kW2J6b1R5k5PqpmN1plJab3VmHR6tApFhQ0jIkMdSx2WHVf8T+lETchmqNzJ9u2bTuWw0nvIAAsWvU5PjYg8LKKXF62umaayZT7VsHpgKi4uJgXX3yRyMhIkpOT+f7770lKSuKKK65o0Bvv2LGDrKwsRowYgYeHBx4eHqxfvx6TyYSHh4dtLFJhYSE33HADAQEBfP3113h6etquER4ezllr5F3F+jq8qo+2rmMMBgM+PrUX79Lr9RgMBocvIYRoFMnJ6verrnLYbAsAxt7H1Fue5tsPv6u1KrJt25bPMSYvgxEjMMZGMbq3OhV9t486aPew1t927ebOmEwfH42H5WJAFrS95hCFe17+lvi+E4nb/iVPXN2dMZGhJKdn11qJenTvkBqBUnJ6NjG9QxyOS9GH1ZmNahZ1BUQyw6xVcDp3FxkZSWFhIU8++SR33303Go2G3bt31zjOfqZYfWJjY9mzZ4/DtgcffJB+/foxa9YsdDodBQUFTJo0Cb1ez3fffVcjkxQTE8Mrr7xCVlYWYVUj9xMTEzEYDAwYMMB2zA8//OBwXmJiIjExMc7euhCijWmKNcWcZg2IxtSsJW2MjeJQ8i5W9r2K1YUKSi0f7maLQtyIUIyvfaYO4u3XT71cZAc2H8nhiEUPVHLSL4TSgiLe35ZhCxKai+mHvVRqdWgsFhStlhdyQuj3zVquvO16AO5ZuInkUm/GHPsN4y1D4RZ1qQ1rsGd9FnVWha56bbYoBGdn8kO+FygK723PdF8wBI4zzexJQNQqOB0QZVWl/F5//XXeeOMN7CenaTQaFEVBo9E4PcssICCAQXb95wB+fn6EhoYyaNAgCgoKmDhxIiUlJSxevNhhcHPHjh3R6XRMnDiRAQMG8Kc//YnXX3+dzMxMnnvuOaZNm4a+aobG1KlTWbBgAU8//TQPPfQQa9eu5fPPP2flypXO3roQoo2pbwmIJg0eMjPhyBF1cO2VV9Z6yAv3xrDy/d9QNBo8awnaZk6Ihs8/V18MHmwbk2I/HV9fUUaZp56X5yxjsdKZuKB8jEODm+aeqjElpRG/4ThxGxfz5LENjLp7PtkePty3qYANZd/wRY4nycdhzLHfWLrjY/hsn+1c+0DHdq91sB5ruS6SqOdWYa42uNwtLjWGSKbct2hOB0RHjx5tynbU8Ouvv7JlyxYA+vTpU6MtPXv2RKfTsWLFCh5//HFiYmLw8/PjgQcecKiZ1KtXL1auXMnMmTOZP38+3bp1Y9GiRVKDSIh2zD54uFBu5u6hYXyz64z6QX5tT6c+VBuUZbLObh00CAIDa73uf49enOxRYVEwJaXVfI+dO9Xv1cqhVF/aYrHSWZ3Kn7wMjv0FXJz44ipbQGnIVd9z8mR++cckRr6USImnnphfFdBwsU1ffqkWpKzlHpy1YP0RzKjBkHVweYvIEFlnlYGMIWolnA6Ielgj3ya0bt0628/jxo3DmRJJPXr0qNElVt24cePYaf0HRAghcAwe3l13WK3lY11T7Lnn4F//qvf8BmWZ6ukusz93WGUeuzyCGGbOq/U96gqIrMfN/ykVswIeigWj5Zi6oxkmh9i6uJa9rm4YNgyfwABWPzCIsUtS1RIBlkqM5Ydh+nS4/fbLer/qY6yqd7k1u27d1IKMpaVqVshab0i6zFqFBs//Kykp4cSJE5SXlztsd3YMkRBCuNuDQ0KJX6P+T97DXKlmLQC++uqSAVF9C43WOY6lnoDI/tyoI3t5PB1KikuJuyPa8UNeUeDXX9WTagmITElpmKuWtCg3g+meZzBuvg3ym34avi0j9swu9fuwYQB8fU5jq5dUjgemuUsvO2Cp7VnX9mfSrLy81IKMp06pWaLqAZF0mbVoLgdE586d48EHH2TVqlW17ne1UrUQQrjL4/PXgCYAjaLWwDEt24RxylWQnl778gvVWAOU+MRUFqw5QLlGR1xZKsavfoCvajlh+3b1ey0Bkf0A4pwof3jnV1IN4dwT6QtE28bVcOYMnDuntm3wYIdr1JkxGTMFY8G+Gu/ZJCorwTphZtiwJsviODPg2i169lQDomPHLo4TkwxRq+ByQDRjxgzy8vLYsmUL48aN4+uvv+bs2bO8/PLL/Pvf/26KNgohRKOL/2Efv1SqNXve7FrE6YEj1Q/qq+/B+MtSOH2ahIMX6h8nZDYzc/kbLAi+RV2stbIC47y4+t+4SxeIjKyx2X68UUj3zvQryOCgoTObV2/G+Jc7Lh5o7S7r3x98fR3aU2vG5PRp4rkPdn+P0dmHczkOHYKyMvD3x3TMYqsh1NhZHGcGXLtFz57wyy8XB1YriowhaiVcDojWrl3Lt99+y6hRo9BqtfTo0YMJEyZgMBiYM2cOkydPbop2CiHEZbEfBG1KSsO04RgAXYuzOdH3CqjKOMRzD1gsGA8fRqftVv84odxdmA6WUD7WEy/Foi438exCjB4ZdTdk8uSLg23rEeNbzkEg5WAmN9vvqGP8UJ0Zkys7w3svYPbxpVn89pv6fehQzAotM4vTlKrXIsrLg4oK9WfpMmvRXA6IiouLbTV/goODOXfuHNHR0QwePJhfrf3aQgjRwtgPgq6oqMRQVkyB3o/oEG/m/3zk4gf3f/6DWaOFw4cxPnodoGYzUo9lMTLrMCfKdXx8IZi4jM1w+DDxY+8jrmsFxidvqwqUgOuuv+wsRczAbnx8CFLKqwUydQREdWZMAgPVsVFaLSiLnArGLsuuXer3oUNbbhanKVWfem/tLjMY1LpRosVyOSDq27cvhw4domfPngwdOpT33nuPnj17snDhQjp37twUbRRCiMtm31Vzk6GcAr0fPhWl/IyfY5eOIQ82LYWrutU4bwXqwpxxGxer28beR1xPDcapt9U41v51Q1x5Qwyag5s5EhDG2dTjdIqu+qCtZ0B1rayV9i0WKC5W11BrStaAqGpAdXthy0BWL86YlYVpzBTMHTow022tE85weS2z6dOnk1G1xs4///lPVq1aRffu3TGZTLz66quN3kAhhGgs1mUffihQa99c8PSu2aVjrXt2+LDDedbV1j0UM8ZeOswjRhLX3xfj1JtqfY/L6Q5KSEzl0/15DCxUF6nenLhV3ZGTg6lrDAlX3eN8wOHjc3FB0UvMNEuoZaV6K6eW/1CUdhsQWTOQptyqgPPYMVAUTLuyiR97HzrfZuqyFA3mcobovvvus/08cuRIjh8/zsGDB+nevTsdOnRo1MYJIURje3h4mC2DU1sl6NoCojlfbFe7mhSFSo0O04P/ZGY92Z/L7Q6yfriO9Fc/RFPSsrgVMH25Tc1K7VkBwU5WntZo1CxRTg4UFEDXrpd83+r34HQF74yMizPgqq1E0NY5ZAfHTMGYvAzTojXEn/FS61uFl1/iCsLdGlyHyMrX15cRI0Y0RluEEKLJvfplVZeTolBhoWZlY/uASFEwrT3MezvUcSC9i7K47Q9jm7zOTfWut80Vvpj+/QXx53zVD9dOZa5dMDBQDYgukSFytrZSnVW6d+1Su4fCOjGzjsWz2zLb8+M+FsTcRXl65cWq3I8/7ubWiUtxOiCyXw6jPs8//3yDGyOEEE3JlJTGkvQSAH5XcIqr/xhbM7jp2VPNcJSUYPp2J/GbMxjrUcjGygD6a0qarfifMTaKsuILvJ18kmMBYcSfs1vy4hJFI2uwjiOqWg/yUu+bVXCB+MRU5iUewoKmRrdinZmkLWfUDFZ+zYW/2wtjbBQLEg+qZRjMFRhP/KIuwHvPPe5umrgEpwOir7/+ut79qamplJaWSkAkhGiRrJmO0ZoCNisGeuvNtQc3Xl7qTKGjRzFnZxM3IZr0b9aAXwADQr0vHkfTTxt/6vdDeCf5BAoaPC1mjP45cNdd8PDDrl3IGhA5Wa367oBiFgMWNHjpamaC6swklVWtnXZb++01MCWlUY62qiq3J6ZP1rbdGXVtjNMBUV1rge3atYtnnnmGffv28eijjzZaw4QQojFZ6/Qc+noN+BuIDFXH59Qa3PTpA0ePMlN7CmInMPHLDQD073NxJm1zfMiZktJQrAuXAqanFzTsfa0LyTqRIQJYk5Zj+7ncXPsCs8bYKLLzitVM0pqDWDRa4jYvVzNYLzzkehvbgBa3tppwSYPHEB09epR//OMfLF++nD/84Q/s27ePqCj5AxdCtEzWmjg3fLkegMieF4vk1TqwOjERDh+mtLCYdP+OAPS/on/zNJZG/nB1IUNkSkpj/nEILzhPpqEDNwVV1Pm+V5xP51O8sWi0apXu9f9Rq2ePHOla+9qAFrm2mnCJy9Puz58/z5NPPkm/fv3IyMggOTmZ5cuXSzAkhGjxLJVmjvqGANB7QK+6D7QbWJ22ZQ9mrY7g0kLCo3s2fSOp+8M1boK60GtdU+Pr5GSGyPa+ATmMP7wFgG45GXW+7+Jj6swprbVK99vfqdPuQ0Jca18bUN/aapdbhkE0D6czRMXFxbz55pvEx8fTp08fvv/+eyZOnNiUbRNCiEZ1en86ZR56vCor6DaoT90H2gVEB/YcAQLpX56L5hKLvTaWRl+41MkMke19Ny7h80y17MCeIvhvLe9rSkpjs6Jed7b/eS6MuVrNhJwAYzv8/3G7rMrdxjgdEEVGRlJYWMiTTz7J3XffjUajYffumjMJhgwZ0qgNFEKIxpK+Jx2AniXZeOi96j7QLiDafzoPPALp79f07bNq9A9XJzNEtvf9NodBVQHRXn0oFrOl1rpEoaWFZHsH0KdXGNdJ95Bo5ZwOiLKqVut9/fXXeeONN1CUi/9T0Gg0KIqCRqPBbDY3fiuFEKIRHDl2FuhIb21p/Qf27q0WNCwoYH++GUKhfzcnCyG2RC7OMiMnh6jsE3hVllOo9+P4roP0GjnAtttsUZhxXSRv/3QQgKihjmNmpHtItEZOB0RHjx5tynYIIUSTSz9fDPqORAZc4p8+b2/o1g3l5EkO+KmDrwcMjWyGFjYRF2eZkZODp8VM/6yj/NalL3u27ncIiGZOiCZ96x7m6TzxLS+lS/+Lz0YyQ6K1cjog6mFdwVcIIVqp9DIt6CGyS9ClD+7Th9P5pRR6++NprqDP7wY3efuaTAMyRABDCjP4jb7sPXqO31c7JG1POuBJZGk2Wg9dozVVCHdpnhGCQgjRAqR7qIFBZFS3Sx/cpw8HwtSZaJHF5/Hy9W7KpjWtBmSIAAZ3Vhcq3VNU85DDx88DEOVRcdnNE6IluOy1zIQQojUoOJvNOd8gAHqP6FfncbZ1uvr0Yf++QgAGeKhrh5mS0jBblHoHPbdIrmaIsrMBGDSqH6TCXn0HLJVmh0xQWm4Z+EGfkFYcKAphRzJEQoh24chOdQBwWEkeAWGhdR5nXafL5NPXliEaEOZrm1ml02qapb2NypUMkcUCubkARF0fUzWw2pfjuw46HHbYrM7Si+rZsVGbKoS7SEAkhGh1EuopTmhKSiOhauq3vfTUkwBEVtYfFNgKIJ72IKW7Om7oYEB4jUKJrYo1Q1RcDJWV9R+bnw9Vs4g9u4QzoESdYbxn2wHbIeaKSg77qkFl1OBWPNhcCDvSZSaEaHXsV1s3WxS1i8tueYu4qi4t+y6uI2fygAB66y2XvL4xNoqyC6W8/csJAP6XYWm9wRBcDIgACgshuJ4SAlXjhxKu+zO6jccZ7G1mF7Dn6HnbwOpXl2+tKnBZTsTgVtZ9KEQdXA6Izp49y9/+9jeSkpLIyspyqEcESB0iIUSTs18jakxkKMnp2Ww+kk1yenaNtb/GRKqZjPQiM/hDZEe1wuKlxgM9dn0/Fv5yHHPV4qqtNhgC8PJSSwmUlqoZICcCIp23nvjEVCYGd4Ji2FOk/ltvSkrjw71ql1rvkmx0Xp5N3nwhmoPLAdGf//xnTpw4wT/+8Q86d+6MRtMK+9OFEK2eMTaKC+WVvLv+CBpFITk9m0ivCkZmpPL626m8cxLGBGtJTs/GlJRGuqIO/o3s2alGJqk2n6YcswVD5WZLrSu+tyqBgWpAdKlxRFUBkTFjC/z1r7ZM3D59B+YnHiIh6TBjPQrZWBlAlK6sqVstRLNxOSD65Zdf2LhxI8OGDWuC5gghhPMmexXwLqBU/ccsvdyTe/eq++I2LsaYvAzTxEeI5za0furg340EsegS44EadaX5lsJggLNnLz3TrCogIiQEY2wUlkoz835Op1DvS0LSYeImRHP8uzXgE0BUUD3LnwjRyrg8qDoiIqJGN5kQQrjDil2nAdBZqrrqrYOBLZUYyw9Dp04Y1yzioW3fYNHqQFFYtDvHpWAILnOl+ZbC2ZlmVVPurSvWz5jUD23Vc9UoCk9eF8nhCrWbLKp7hyZpqhDu4HJANG/ePJ555hmOHTvWBM0RQgjnmJLSWHhOT9zGxaRnf6uOFdJo0Gk0VGg9MM1dCidOwEcfcVWlWkQQzaXHA9W30nzchOjWu06Xs7WI7DJEoD5ni0YDioKi0fDE699x2FvdFzWod52z+oRobZzqMgsODnYYK1RcXExkZCS+vr54ejoOqMux/mUSQogmYsvi5O9Wu8UmfEhyerZtgPWYyNCLXVwPPsi2TlfChqN4aDWXHA/U6CvNtxTOZojsAiL7genJ6WrmaGWeJ3h54mGu5PsCL+b/XP9YLCFaC6cConnz5jVxM4QQwnm2LM7fX8I0ZgrxpZ0cxvuYLQqje6tBUV2zz6CVBziucjFDZPLp69B1+O+Ve3lr43HbYZ6Kmfk/H2nd5QiEsONUQPTAAw80dTuEEMJpMydEq+OFUlMxD+xD3JBAh/E+VtWDIfv97S4ocjFDZPb2Ie6qi8/tr5MHcXRvOity1Y+NCx56CYZEm+LyLDOdTkdGRgZhYWEO27OzswkLC5M6REKI5pGdDXl5zNy0FNZ8UOshV/QMYXTv0FrHAwGtdzxQQ7iYIZoZrYdqz+2tp25h5ewfUDQadCgSDIk2xeWAqK4ZZmVlZXh5yRRMIUQzSaua7dWtG/j61npImx0P1BANGENU3Vs/p9uCITOa1l+bSQg7TgdEJpMJAI1Gw6JFi/D397ftM5vNbNiwgX796l5BWgghGpU1IIqWAb1OcTZDVG3avVWbrM0khB2np90nJCSQkJCAoigsXLjQ9johIYGFCxdSUlLCwoULG9yQuXPnotFomDFjhm3b+++/z7hx4zAYDGg0GvLy8mqcl5OTw7333ovBYCAoKIiHH36YoqIih2N2797N2LFj8fb2JiIigtdff73B7RRCtBDWgChKPoyd4kyGyGKpNUPUZmszCWHH6QzR0aNHAbjuuuv46quvCK5vLRwXbdu2jffee48hQ4Y4bC8pKeGGG27ghhtuYPbs2bWee++995KRkUFiYiIVFRU8+OCDPPbYYyxduhSAgoICJk6cyPjx41m4cCF79uzhoYceIigoiMcee6zR7kEI0cxSq2rfSEDkHGcyRIWFalAEDgFRfbWZrPuFaPUUNyssLFSioqKUxMRE5dprr1WmT59e45iff/5ZAZTc3FyH7fv371cAZdu2bbZtq1atUjQajXL69GlFURTlnXfeUYKDg5WysjLbMbNmzVL69u3rdBvz8/MVQMnPz3ft5oQQTWf4cEUBRfn2W3e3pHXYtEl9XpGRdR9z5Ih6jK9v87VLiCbkyue3UxmiuLg4/vWvf+Hn50dcXFy9x8bHx7sUkE2bNo3Jkyczfvx4Xn75ZZfOTUlJISgoiFGjRtm2jR8/Hq1Wy5YtW7j99ttJSUnhmmuucRjwPWnSJF577TVyc3MbNdMlhGgmiiJdZq5yJkNUz4BqIdo6pwKinTt3UlFRYfu5LvbVrJ2xbNkyfv31V7Zt2+bSeVaZmZk1pv97eHgQEhJCZmam7ZhevXo5HNOpUyfbvtoCorKyMsrKLq7iXHCpWRlCiOZ19iwUFYFWC717u7s1rYMzY4gkIBLtmFMB0c8//1zrz5fj5MmTTJ8+ncTERLy9vRvlmo1lzpw5vPjii+5uhhCiLtbxQz16gF7v3ra0FtYMUXk5lJZCbf/uSkAk2jGXF3ddu3atQ/akoXbs2EFWVhYjRozAw8MDDw8P1q9fj8lkwsPDw6kCj+Hh4WRlZTlsq6ysJCcnh/DwcNsxZ8+edTjG+tp6THWzZ88mPz/f9nXy5MmG3KIQoqlId5nrAgIu/lxXlkgCItGOuVyY8fe//z2VlZVcccUVjBs3jmuvvZarrroKHx8fl64TGxvLnj17HLY9+OCD9OvXj1mzZqHT6S55jZiYGPLy8tixYwcjR44E1IDNYrFw5ZVX2o559tlnqaiosC1Em5iYSN++fescP6TX69HL/zqFaLkkIHKdVqsGRYWF6jiiasMNgDprEAnRHricIcrNzSUpKYkbb7yRrVu3cvvttxMUFMRVV13Fc8895/R1AgICGDRokMOXn58foaGhDBo0CFDH+OzatYvDhw8DsGfPHnbt2kVO1f9i+vfvzw033MCjjz7K1q1b2bRpE0888QRTpkyhS5cuANxzzz14eXnx8MMPs2/fPpYvX878+fMvOThcCNGCSUDUMJcaRyQZItGOuRwQeXp6ctVVV/H3v/+d1atXs3nzZu6++262bt3KnDlzGrVxCxcuZPjw4Tz66KMAXHPNNQwfPpzvvvvOdsySJUvo168fsbGx3HTTTVx99dW8//77tv2BgYGsWbOGo0ePMnLkSP7617/y/PPPSw0iIVoz6xgiqVLtmkvNNLMGRKGhzdMeIVoQl7vMUlNTWbduHevWrWP9+vWUlZUxduxY3nzzTcaNG3dZjVm3bp3D6xdeeIEXXnih3nNCQkJsRRjrMmTIEDZu3HhZbRNCNK+ExFR0Wk3NZSEsFkwhwzBfNYSZkiFyjWSIhKiTywFRv3796NixI9OnT+eZZ55h8ODBLk+3F0KIS9FpNbWulWX65lfiY6YQt2kp9Ozppta1Us5miCQgEu2QywGR0Whkw4YNvPTSS6xYsYJx48Yxbtw4rr76anzrWHFaCCFcZQ2C7IMiU1Ia8VvPErdxMcZzO8DD5X/C2jfJEAlRJ5f/NZk3bx4AeXl5bNy4kfXr1/Pss8+yb98+hg8fzqZNmxq7jUKIdso+KFrw4z7KdZ7EbfkcY/IyuOkmN7euFZIMkRB1cnlQtZXZbKaiooKysjJKS0spKyvj0KFDjdk2IYTAGBuFl7mScp0nXpUVGNd9pu6IjXVvw1qj+jJEiiLT7kW75nJAZDQaGTJkCJ06deIvf/kLZ86c4dFHH2Xnzp2cO3euKdoohGjHTD+lUq7zwKuygnIPT0z/3QRHj4KUznBdfRmioiKorFR/loBItEMud5llZGTw2GOPMW7cOFu9ICGEaAqmpDTif0pTxwwlL8P0437ifz4CHTti7Onu1rVC9WWIrN1lej24WGhXiLbA5YDoiy++aIp2CCGEA1NSGvGJqcQN9Mf42jLo1AnjpP7g4VHr7DPhhPoyRPY1iGTmsGiHZIqGEKJFMlsU4iZEYyzcp27o3h24GASZLYq7mtbq2Go61ZIhMiWlYbYozNTKgGrRvklAJIRokWZOqKpCbVqlfu/Rw7ZPMkOusdV06u2LEWwZIlsWbkK0zDAT7V6DZ5kJIUSzOH5c/V6VIRKuM8ZGETchmvgjZkxjpkBeHqZV+9Rg6NqeGK/sDBkZ6sESEIl2SjJEQoiW7cQJ9bsERJfFGBsF588Tz30sqLyL8vXH1MHqry1zPFACItFOSYZICNGyWQMiuy4z0TDG20eqNZ08qmo6JVcLhry84IYb3NM4IdzMqQxRcHCw0+uV5Vj7oYUQojFIhqjRmDYeV2s66TSU44lp1T6M1/a6eIBOpwZFQrRDTgVE1uU6hBCiWZWWQmam+rMERJfFfgC1bV24xFTw9JRB6kLgZED0wAMPNHU7hBCiplOn1O8+Pmp9HNEg1YMhqH3xXCHaswYNqk5PT+fjjz8mPT2d+fPnExYWxqpVq+jevTsDBw5s7DYKIdor+/FDUiywwWw1naoFPVLTSYiLXB5UvX79egYPHsyWLVv46quvKCoqAuC3337jn//8Z6M3UAjRjsn4oUYxs5ZgyMoYG3Wx5pMQ7ZjLAdEzzzzDyy+/TGJiIl52g++uv/56Nm/e3KiNE0K0c1KDSAjRTFwOiPbs2cPtt99eY3tYWBjnz59vlEYJIQQgGSIhRLNxOSAKCgoiw1rR1M7OnTvp2rVrozRKCCEAqUEkhGg2LgdEU6ZMYdasWWRmZqLRaLBYLGzatIm//e1v3H///U3RRiFEeyVdZkKIZuJyQPTqq6/Sr18/IiIiKCoqYsCAAVxzzTWMGTOG5557rinaKIRojxRFusyEEM1GoyhKg+Zbnjhxgr1791JUVMTw4cOJimq7NSwKCgoIDAwkPz8fg8Hg7uYI0T5kZUGnTup0+9JSqaAshHCZK5/fLtch+uWXX7j66qvp3r073eV/bUKIpmLNDnXuLMGQEKLJudxldv3119OrVy/+/ve/s3///qZokxBCyPghIUSzcjkgOnPmDH/9619Zv349gwYNYtiwYbzxxhucspbYF0KIxiDjh4QQzcjlgKhDhw488cQTbNq0ifT0dP7v//6PTz/9lJ49e3L99dc3RRuFEO2RTLkXQjQjlwMie7169eKZZ55h7ty5DB48mPXr1zdWu4QQbUhCYiqmpLRa95mS0kioWmDUgWSIhBDNqMEB0aZNm/h//+//0blzZ+655x4GDRrEypUrG7NtQog2QqfVEF9LUGRdhV2nrWXhVhlDJIRoRi7PMps9ezbLli3jzJkzTJgwgfnz53Prrbfi6+vbFO0TQrQB1oVF4xNTqTRbiJvY1xYM1bYKOyAZIiFEs3I5INqwYQNPPfUUd955Jx06dGiKNgkh2iBjbBSKopDwU5qaKdJoiNvyOca3v6r9hKIi9buMIRJCNAOXA6JNmzY1RTuEEO3APb19SQDQaPCsrMC47rP6Txg2DIKCmr5hQoh2r0FjiP7zn/9w1VVX0aVLF45X9fPPmzePb7/9tlEbJ4RoW95YVVW7TFGo8PDE9PlmOHy47q+tW9VK1UII0cRcDojeffdd4uLiuOmmm8jLy8NsNgMQFBTEvHnzGrt9Qog2wpSUxucnKwC4pvAEcROiid9xHtMxC0RG1v7l6enmVgsh2guXA6K33nqLDz74gGeffRadTmfbPmrUKPbs2dOojRNCtA3WAdSjLHkA9PZVxxTFTYiudfaZEEI0N5fHEB09epThw4fX2K7X6ykuLm6URgkh2hazRSFuQjS7v1oDAUH07uAPXJx9ZrY0aI1pIYRoNC5niHr16sWuXbtqbP/xxx/p379/gxsyd+5cNBoNM2bMsG0rLS1l2rRphIaG4u/vzx133MHZs2cdzjtx4gSTJ0/G19eXsLAwnnrqKSorKx2OWbduHSNGjECv19OnTx8++eSTBrdTCOG6mVVT64+glufo3Svcts8YG8XMCdHuapoQQgANyBDFxcUxbdo0SktLURSFrVu38t///pc5c+awaNGiBjVi27ZtvPfeewwZMsRh+8yZM1m5ciVffPEFgYGBPPHEE/zhD3+wzXQzm81MnjyZ8PBwkpOTycjI4P7778fT05NXX30VUDNakydPZurUqSxZsoSkpCQeeeQROnfuzKRJkxrUXiGE6ypKyzjhGwJA78GRbm6NEEJUozTA4sWLlT59+igajUbRaDRK165dlUWLFjXkUkphYaESFRWlJCYmKtdee60yffp0RVEUJS8vT/H09FS++OIL27EHDhxQACUlJUVRFEX54YcfFK1Wq2RmZtqOeffddxWDwaCUlZUpiqIoTz/9tDJw4ECH97zrrruUSZMmOd3G/Px8BVDy8/MbdI9CCEU5sm2v0mPWCqVv3JeKuaLS3c0RQrQDrnx+N2ja/b333ktaWhpFRUVkZmZy6tQpHn744QYFZNOmTWPy5MmMHz/eYfuOHTuoqKhw2N6vXz+6d+9OSkoKACkpKQwePJhOnTrZjpk0aRIFBQXs27fPdkz1a0+aNMl2jdqUlZVRUFDg8CWEuDxH9h8FoNeFHLQeukscLYQQzcvlLjN7vr6+l7Vkx7Jly/j111/Ztm1bjX2ZmZl4eXkRVK0oW6dOncjMzLQdYx8MWfdb99V3TEFBARcuXMDHx6fGe8+ZM4cXX3yxwfclhKjpyPFzQBi9tWXubooQQtTgVEA0fPhwNE4WR/v111+dOu7kyZNMnz6dxMREvL29nTqnucyePZu4uDjb64KCAiIiItzYIiFavyM5JaCHSMNl/T9MCCGahFP/Mt12222N/sY7duwgKyuLESNG2LaZzWY2bNjAggULWL16NeXl5eTl5Tlkic6ePUt4uDpDJTw8nK1btzpc1zoLzf6Y6jPTzp49i8FgqDU7BGoJAb1ef9n3KIS46EiZFvTQq0uwu5sihBA1OBUQ/fOf/2z0N46Nja1RyPHBBx+kX79+zJo1i4iICDw9PUlKSuKOO+4A4NChQ5w4cYKYmBgAYmJieOWVV8jKyiIsLAyAxMREDAYDAwYMsB3zww8/OLxPYmKi7RpCiOZxxMMAQO+obm5uiRBC1OS23HVAQACDBg1y2Obn50doaKht+8MPP0xcXBwhISEYDAaefPJJYmJiGD16NAATJ05kwIAB/OlPf+L1118nMzOT5557jmnTptkyPFOnTmXBggU8/fTTPPTQQ6xdu5bPP/+clStXNu8NC9GOFZ7L4ZxvEAC9hvV1b2OEEKIWLbozPyEhAa1Wyx133EFZWRmTJk3inXfese3X6XSsWLGCxx9/nJiYGPz8/HjggQd46aWXbMf06tWLlStXMnPmTObPn0+3bt1YtGiR1CASohkd3XkIgA4X8jF0CnVza4QQoiaNoihSM/8SCgoKCAwMJD8/H4PB4O7mCNHqfLPgc2ac8uN3BSf5/J2p7m6OEKKdcOXzu0F1iIQQwhVHzuQCEOlldnNLhBCidg0OiMrLyzl06FCNdcOEEG1bQj2r05uS0khITK2x/Uih+u9Er5DaZ3YKIYS7uRwQlZSU8PDDD+Pr68vAgQM5ceIEAE8++SRz585t9AYKIVoWnVZDfC1BkSkpjfjEVHRatWaZfeB0xOwFQO8eHW3H1hY4CSGEu7gcEM2ePZvffvuNdevWORRUHD9+PMuXL2/UxgkhWh5jbBRxE6IdgiJrMBRXtao9XAyc5ice4qhP1aKuA3rVCJyEEKIlcHmW2TfffMPy5csZPXq0Q/XqgQMHkp6e3qiNE0LULaEqqLAGIPZMSWmYLQozJ0Q3yXsbY6M4n1dMfGIqCWsOomi0xB1YhfHQIrh6Gej1tnbFJ6aCpzce5kq+zdEx/2fHwEkIIVoClzNE586dsxVBtFdcXOz08h5CiMvnbNdVU7m+NAMARaPFq7IC43dvwzffwJIltmOMsVHcHqa2o1KrY/7PRyQYEkK0SC4HRKNGjXIoamgNghYtWiTVn4VoRvZdV7OWbOXXXem1dl01lSXpxQBoFIVyD09MfzOpO+Ljwa6aR176MfUHjQYvnVaCISFEi+Ryl9mrr77KjTfeyP79+6msrGT+/Pns37+f5ORk1q9f3xRtFELUwRgbRV5xGR8lH2f57izQaGoEQ03RfWZKSiOxRJ0xNqX8OJ1vnkh8InDtnzCu/w/89BNMmMDuNSn8HNADAE8tlJstmJLSJCgSQrQ4LmeIrr76anbt2kVlZSWDBw9mzZo1hIWFkZKSwsiRI5uijUKIevy1UykoFtBoQFEwbE227WuK7jPrNQdVqLWFOvt7XcxWjb4L05gpapYImLFKHVfYvzyXtFcn1xiMLYQQLUWDlu6IjIzkgw8+aOy2CCEa4MPE/aAJRWOxoGi1vJDfgVNxCwjo0ZWEDC/iulVivKJTo72f2aIQNyGa7V8mgmcw4aH+tu1juvhi1mrhxx959rUvOaIPRmOxMHpYTxISU21ZqviqKfeSKRJCtBQuZ4h++OEHVq9eXWP76tWrWbVqVaM0SgjhHFNSGvFFocRtXMyR4H1015QBsMirlxoMbVyM8cnbYPr0RnvPmVVdcpmoCyh3Dlen1Ou0GpLPlKDrpy7emnL4PAB9K/P5eH++LUtlzSaZLbJqkBCi5XA5IHrmmWcwm2uW31cUhWeeeaZRGiWEuDTbAOodX2FMXobm2mvYMOcPaFADDa1iwVhyUD1427ZGf/8MfQAAnXuEA3aDvENH8tyEqRwJ7QaKhYNewTXGNRljo5qsJIAQQjSEywFRWloaAwYMqLG9X79+HD58uFEaJYS4NLNFIW54MMafPgJvbxg1ClNSGgoatBqwaLSYnl2oHnz4MNTyH5mGKjqfS6HeD4DwqO627cbYKOLGR7F4xM3qBo1WptkLIVoFlwOiwMBAjhw5UmP74cOH8fPza5RGCSEubeaEaIz5e9UXo0dj2njcNuX+yJyqAczbz2Maey+UlUHVMjuNIfPwSQACykrw7xDssM84Phpd1RhuzzoKRwohREvjckB06623MmPGDIeq1IcPH+avf/0rv//97xu1cUKIS9i4EQDTmLtq1B+ydWGNuVud+XXoUKO9bebxTADCywtq7DMlpWFWwEunpcKiyIwyIUSr4HJA9Prrr+Pn50e/fv3o1asXvXr1on///oSGhvLmm282RRuFEHXZsAEAc/eetXZNGWOjiDu/A7NGC6mNt5hqRkY2AOFKucN2+8KQqa/cKNPshRCthsvT7gMDA0lOTiYxMZHffvsNHx8fhgwZwjXXXNMU7RNC1OX4cbUbTKdj5r1Xg79/rYcZO5TApqUwNKjR3jozpwgwEO5psW2rrUq2w3pmyDR7IUTL1aA6RBqNhokTJzJx4sTGbo8QwllV3WWMGFFnMARAX3UafKNmiArLQQ+d/S7+E2KtT1Rblsq6XwghWiqnAiKTycRjjz2Gt7c3JpOp3mONRmOjNEwIcYkV7bedxXzVPcwc3bn+i0RXTW9vxIDobBmgh/CQixMp6ptGL5khIURL51RAlJCQwL333ou3tzcJCQl1HqfRaCQgEqIRWVe0B2qsTxbv0484ZTuMHVv/RawZohMnoKQEfH0vu10ZeAHQOTz4EkcKIUTr4FRAdPTo0Vp/FqK51JspaYLFS1sK+zE4x05nE306jZNlGpaUBqtVqJOXwdUL6r9IaCgEB0NurlqPaMiQy25XpqfaRRce0XhLggghhDu5NMusoqKCyMhIDhw40FTtEaJW1kxJ9dlK1RcvTahnRpMpKY2ExMbrNmou1unzX+3PZm5+iGMwNGiQGvDUR6O5mCVqhKn3pYXF5PgYAOjcJ+KyryeEEC2BS4OqPT09KS0tbaq2CFEn+0zJlq0Hie9cyPIcL+KzfIgLu4Axcyss2YquOJT4I2aHc8BxBlRrZIyNImHNIRSNBg/FjLGPF/R9EB56yLkLREfD5s2NMo7o7GG1wKN3RRmBnTte9vWEEKIlcHmW2bRp03jttddYtGgRHh4NmqQmRIMYY6PYsWEX6/N9GZ0XgKLRXsyUWI8BuPVJ4gHFYsE4Ppq31h6uMR28tZlXFQwBVGp0mO5/zrV7acQMUcbRDAA6l+aj0bpcykwIIVoklyOabdu2kZSUxJo1axg8eHCN5Tq++uqrRmucEPYUi4Uz5wsgwBdFo8XLUonR9zyMH191gAI7dmD89i0O4ksC8Nbaw1QqOB0MtcSxSqakNOatVdcJ1FeW8fjEga7X9WnEmWaZZ84DfoQrki0WQrQdLgdEQUFB3HHHHU3RFiHqtWt1MmkB6srqnjoN5XhgeuYdx6AgPx8WLKD7xlMAVFYtIeFs4FDvrC43dLlZ3/eWEDPf5+iIKslmxsS+aHVa14Ii+wyRoqjjihooI7sQ8KOzh+WSxwohRGvhckD08ccfN0U7hLik5386Bp7B9C/PZVX8fbZgAeyCgsBAePZZKhYnw95cAMrNFkxJaU4FDtUrKz8+LpJ3fj5Mwk9pbulysxY7VNatA7oQ7Vnu0E6nix326aMGQXl5cP48dGz42J/MgjLwhHBfXYOvIYQQLY3TAZHFYuGNN97gu+++o7y8nNjYWP75z3/i4+PTlO0TAoB/r9jLHk+15s3zV6mFCOtaFsKUlMaHe3PpWZrLMe9gRlnyXMqmGGOjqLRYiE9MtZ3nrvFH1u65//f1GvCHfh0u1hByqT0+PtC9u7rcx6FDlxUQZZQq4Amdgy+/npEQQrQUTo+IfOWVV/j73/+Ov78/Xbt2Zf78+UybNq0p2ybaserT5w/uUgOT7kXn2WroZps+b52Sbs2U2HdtPTtMnRqeXq7DeE1PlxYZjRsVpnYtAZ5a91daPqiowUffyPCGX6SRxhFlKp4AhHcKuqzrCCFES+J0QPTZZ5/xzjvvsHr1ar755hu+//57lixZgsUi4wiE85ytE1S97lD+mSwAIgL1JCQdttUdAjVYsWZS7NfT2tM5moDyEnK9A+h1ZF+NwKm+mkSm73bZxtlUWHDrau2lBUUc81NrDfUbNcDl823PvJaZZg2pzZThoU6k6CxFGYUQbYjTXWYnTpzgpptusr0eP348Go2GM2fO0K1btyZpnGh7nB20bN8dlns6i62GCDQWC5sIqLf7yn4GmIeHjkIvNbOyZF8O/3viYpdafQOkTUlpxB8ooUNRDuf9Q7g9rPY2N5fD2/Zh0eoIKi0irAGFEG3PPPx3almCqgxRQwaKl5eUcr6qKGN4pPy9F0K0HU4HRJWVlXh7ezts8/T0pKKiotEbJdou+0Dn+JkcRmYfJf2Chg/z/RntUw5FRbUeC6BotS6N5THGRlGck8d7O7LYHhjBwQ07WFNhqLcmkS1I8DjF5vPZnPcP4Vp9Mb0mDHNbUHRo31EggL7lOQ2q++PwHMdMwbgzBdP8r4nP8CKucznG7J3w+U4SsnzQRfbGeONAh/MTElPZdiyHK3qG8H+dNWrJg8oKQrqFt+llU4QQ7YvTAZGiKPz5z39Gr9fbtpWWljJ16lSHWkRSh0hciv0H9JcEABC3cbG67cJ9cO4cxkcmolgsWH7+GegKgBbF5WBk9v9dwc/Ji0nVB3PTygwsmsx6gypbl9tHSzlUqmZjcgtKXJ/V1YgOncoFbQD9fBr+3sbYKMjLI577WFB5F+UZnjWKWurGTCF+7H2QkYHxofG27duO5ZCcng3A2NIyADqV5rNg/ZFWXf1bCCHsOR0QPfDAAzW23XfffY3aGNF+PHldJPFrDoFGg4fFjLHjBTh4EDZCPPehvPwfsnMK+cyrBwAaFCxonJ4+b+/Fqztz97ZSLBoNulqCKvsshy3TMTuNoOAgAHKL1CDAXQOrDxYpYIC+nQ2XdR3jHVewYNv3lHt4qkUtPTPg2msv7k/bAKjPv/KZd7hjxj18u+8cyenZjIkMJTk9m+DsCsATi4dnq6/+LYQQ9pwOiKT+kGhML362SR20rChUanWYnnwDY0xXjI89hvmXpSRcfQ94hQDQy6Ocn1++vfa6Q07YFtQdUM8zo+EvL3/Fe8/9AahjHI2iQGoqwUPUQch5pZWNcMcNd8hDDYT69u9+WdcxJaVRjhYvnVYtavmPDxyfY0EBxhkzOLl7DaYhE3kr4RcUjcYW9Ng//9PegRIMCSHaFLcuRPTuu+8yZMgQDAYDBoOBmJgYVq1aZdufnp7O7bffTseOHTEYDNx5552cPXvW4Ro5OTnce++9GAwGgoKCePjhhymyG4cCsHv3bsaOHYu3tzcRERG8/vrrzXJ/onampDQ+OVgAQEzhSeImRKszylJOw3/+w3W3XGWb8q5B4eeXbwcuTrF3Zfq89UN85vgohpnzAFhdpOf/vfq1QzDk8MF+/jzk5xN0oRCA3PKaXVXOzpa7XHmnz3LWV62/FP27QQ2+jv29pr5yY+3P0WCAjz7i738eB4qCotE4lBwwxkahrfpzaUj3pRBCtGRuDYi6devG3Llz2bFjB9u3b+f666/n1ltvZd++fRQXFzNx4kQ0Gg1r165l06ZNlJeXc8sttzhM9b/33nvZt28fiYmJrFixgg0bNvDYY4/Z9hcUFDBx4kR69OjBjh07eOONN3jhhRd4//333XHL7Z71g7lvuVpF+soQnWOgs/YwG0ZNAI0GLaBUdZNZVa875Mx7xU2IZvr4aL5+7W4GV6rv+0OBV91dPmnq+wVXBUR55pp/TaqXBaj+nvZlAVxlH2wd3LIPgK7F2QR0DGlQsFVb4FdfcPmf0EG1lhyI/2Eflqrtlmp/LkII0dq5dbn6W265xeH1K6+8wrvvvsvmzZs5ffo0x44dY+fOnRgMapfBp59+SnBwMGvXrmX8+PEcOHCAH3/8kW3btjFq1CgA3nrrLW666SbefPNNunTpwpIlSygvL+ejjz7Cy8uLgQMHsmvXLuLj4x0CJ9E8zBaFmeOjWPLdNvCCK4dHAhezEMnp59l8JKfWbhr7D3Nn38s+CNBotXw7924in12FotGgqSvLYQ2IytRMY24tf03sB4ZXWizETehbd8bJRfalCYJSTwGh9LMUNng9terPofo92AeX1veY4HuBxBIfOpYWEJ+YyuYj2baB1Z2Lc5jy+9+5tRSBEEI0NrcGRPbMZjNffPEFxcXFxMTEkJ6ejkajcZjV5u3tjVar5ZdffmH8+PGkpKQQFBRkC4ZArY+k1WrZsmULt99+OykpKVxzzTV4eXnZjpk0aRKvvfYaubm5BAcHN+t9tnczJ0RzZNteEnyD8KqsYPiEax322wdDUPfyHM6+V3UL1h9BqcpyKHUN0q4KiIK6hAGQp/WiNsbYKCorzZiSDmP6KQ00GuJ+WYLxzc8vHuTtDR98AHff7XS77e95cKUWPKAwILjBwVZ9U+LrqgV1X5Q/axds45y3gREdvUlOzya08gLZHj7c4lPE9Al90WhdXGBWCCFaMLd2mQHs2bMHf39/9Ho9U6dO5euvv2bAgAGMHj0aPz8/Zs2aRUlJCcXFxfztb3/DbDaTkZEBQGZmJmFhYQ7X8/DwICQkhMzMTNsxnTo5VtS1vrYeU11ZWRkFBQUOX6LxbNnwGwDDijPxNvjbtteXyXC2m6w+1g/82zqq1wkuK6p9PJI1QzRQDSTyvOpes+uenlUBu0aDV2UFxk3/BbP54ldxMXz7rctttd7zHg81YN9K0w9itn/+Id07M6boFADeOee4sruBPK26ZMfvJ41waKM7ShEIIURjc3tA1LdvX3bt2sWWLVt4/PHHeeCBB9i/fz8dO3bkiy++4Pvvv8ff35/AwEDy8vIYMWIE2gYUp3PFnDlzCAwMtH1FRLheHVjUbcuxPABGBzuOs5lZzwe+/fIcDWGf/XhhyhUA5Or9mXpF55pBkTVDNHIIAEVevpSXlNZ63QUbj6s/KArlHp6Yvt4BZ86oXwkJ6r7Cwga1+cnr+zTremrVn/9NkYEA5OUWcZf5DGatB70Lsxh43RW2Yy73z0UIIVoKtwdEXl5e9OnTh5EjRzJnzhyGDh3K/PnzAZg4cSLp6elkZWVx/vx5/vOf/3D69Gl69+4NQHh4OFlZWQ7Xq6ysJCcnh/DwcNsx1WemWV9bj6lu9uzZ5Ofn275OnjzZqPfcnikWC1tQx4RdOaxXs72vffYjqGsnogvU7ODw/JOOWY6qKfcAht+NRKOoA/jzMs7VuKYpKY3Fh4sBiC46qw5S3pyBaX8RdO4M1iVtGphhnLf6gDq43GJu9vXUEhJTOdGrPzqLmf2Gzrx3QB1PdUtQBW/9nN5os+iEEKKlcHtAVJ3FYqGsrMxhW4cOHQgKCmLt2rVkZWXx+9//HoCYmBjy8vLYsWOH7di1a9disVi48sorbcds2LDBYYmRxMRE+vbtW+f4Ib1ebysFYP0SDWc/a+rk7lQy/ELwNFcwYlJMo05Rr0/17McovZrx2X7gjGOWIzNT7ebSatFFRxFYVgJAXuZ5h+tZM06Tg9Tfq2CloubMLevvTQMyRKakNOavO0rcxsUcmfdH4sZHuVRu4HLptBre3ZpB13K17YcM6n8e8qMHXPYsOiGEaIncOqh69uzZ3HjjjXTv3p3CwkKWLl3KunXrWL16NaAWg+zfvz8dO3YkJSWF6dOnM3PmTPpWrdrdv39/brjhBh599FEWLlxIRUUFTzzxBFOmTKFLly4A3HPPPbz44os8/PDDzJo1i7179zJ//nwSrN0ZosnZz5oK3/0rEMiQokw+2J7ptqUffhfZkaWnYGuxznFHVXcZPXqAXk9wRQl53v7knst1OMyacQralsJKQgnRmoFqM7esAZGLGSJb994AP4yvLYOuXTGOjwZN8y0yW30wO0BYaQGfHEAKMgoh2iS3BkRZWVncf//9ZGRkEBgYyJAhQ1i9ejUTJkwA4NChQ8yePZucnBx69uzJs88+y8yZMx2usWTJEp544gliY2PRarXccccdmEwm2/7AwEDWrFnDtGnTGDlyJB06dOD555+XKffNyP7DtX+5BbxAF1j/IqtNbdS44bA4lX1+nSjJLcA3uCp4sQZEUWqbgpRyAHKzHYMaa0Zp3s8/AxDseTFjYruffWoNIVcDIlv33oVD6oaqrt3mXk/NGBtFSV4hC7epkxiyvA0SDAkh2iy3BkQffvhhvfvnzp3L3Llz6z0mJCSEpUuX1nvMkCFD2Lhxo8vtE43HGBuFYrGQkHQYaJ5ZU/XpOiCSzsWbyfALYVfSVsb8sWox02oBUTDqsh15+SW1Xif3QiV4QoiPrubOBnaZ2brvPlTXFsNulmRzP69n7hjB+1tXYNFo8NRqJBgSQrRZLW4MkWi7Bpw+ZPvZU+feD1eNVsso1MzN9t+OXNxRPUNU9V+G3MLaZ5nlVC3rEeyvr7nTGhCVl0O1cXFOsZaFqGPwf3MwJaVh0Wjw0mmpsChSnVoI0WZJQCSahWKx8PwudaaSFoUKs/s+XK2DvH/XNQCAbdkXF281KREkXHXPxQyRXv0rkldSXuu1cs1qV1mIoZZaRf4Xayw1aOq9dXZktTpazcWp9c+EEKKNkIBINItZ7ySS4R2IzlzJ5keHuvXD1TrIO7Wjunr8r95hVJaVY/oplfjoCegUy8WAyEctRphbZq71Wjmo+4NDAmp5Ix34+ak/N2TqvRszRK6ufyaEEK1di1m6Q7QtCVVTs63rkX1+Ss3CTKk8xbJjA2wDh92x9IP9IG+vynKKvXz451s/sOS8J3EbF2Pc+j/o+RkAQf56yIHcitqvlaPzASCkYx1LwAQEqNP4GxIQuTFD5Mr6Z0II0RZIQCSahP1U+8wj6hIQWosZ/cjhNTIP7vhwrT6t3BYMJS9Ts0OeVZmfQF/IgXxLzUHTisVCjl7NAAWHh9b+RgaDmulpSJeZGzNEzq5/JoQQbYUERKJJ2Acc0eW54BVMVGUBH+3V1bp4q7vaOD8xFTOgs5gxnvhFrT80fbrtmOCQADhaQW7VOl72SvIKKfdQF34N6RZWYz/Q4FpEgNvHEAkhRHsiAZFoMsbYKPIzz/PhHvX1Ia/gFlXHxpSUhhnw0mkpB0yfrK3RtsAOQcA5cj18apyfc0oNWLwqy/ENrGUMEahdZuB6QFRaCvn56s9unGUmhBDthQyqFk2q//njtp+9dNoWFQw5M4MquJPaFZbn5YdisTjsy83MBiCkvBhNXQsON3T5Dmt2yMsLAgNdO1cIIYTLJCASTWrZaXV2llZRKDdbWsTsJFdmUAV3VbvCKnUeFGXnOVwn55z6OqTyQt1v1tAuM2tAFB4OGlk3TAghmpp0mYkmY0pKY7s2CIB/dcgje8SVbplVVp0rM6h8AgPQV5ZR5qEn78w5AjqG2Pbl5hYCfoRQxxQ0aHiXmXVAtYwfEkKIZiEBkWgS1iyMf3kJRV6+9O0XwahqM7vcFRS5OoMquKyETA89uWdziLDbnpNfAvgRrKtnltzldpnJ+CEhhGgWEhC1I/a1gaozJaVhtij1BguuMFsUpsV04+0Udcp91BUDgdZZxybIXEomkHs+z2F7bpG6HEeIVz1dWg3tMpMMkRBCNCsZQ9QGJdRRSdhaG2jK+ykO263ZHJ228caqzJwQzfU6dZZUeHEugeEdbPuMsVGNFng1h+CqLrG83CKH7TmlarHJYJ96/l9h7TKTDJEQQrRokiFqg+yLItaWDdp8JIc3V+zh7PEMTnkGkHIkp8aYmsbIGB06eAIIJtrcgBo8LUiwVp1dllvguOJ9bgWghxB/77pPlgyREEK0ChIQtUH2RREPHjrFjJsH82Narm1mlaIoJPxkzSDlcGV3Q41gyHrs5UjNLACPYPr6t+5ZUkFVNRlzix0XeM2xqAnW4CC/uk9u6KBqyRAJIUSzki6zNsoYG0VMqI4fTpQw6e3NDtPMh2WlOxy75UQBL/1nE1D7lPSGSi1RA6GoLkGXdR13C/ZW/9+Qd8FxNlkuVVWqa1vY1aqhg6olQySEEM1KMkRt2JuWg1yl9EHRaNChYIyNQrFYmLU1D7wNaBQFparGzUf78vhs9koqFRqtmnSqp1pQsG//Hpd9LXcK9vOCIsgrdxwInuOpVq8O7hRS22mqxqhDJIQQoslJQNSGfZlhAW814DGj4fWvd3I6/RSZ3gY8zBU8MjqCbacK2ZFRDECl0njVpLOPn+G8jxoQRf1u0GVfz52CAryhCHLNF7v+FLOZXL0/ACGdO9R1qkOXmdOz/EpKLmaUJEMkhBDNQrrM2ihTUhrx3n0Zffw327Z3tpzh2/PqH/lwXQkLt2Vy7aCuROnV2VI0YjXp1O0HAOhedB7fYMNlX8+dgoLUwCfP7v8PBVk5mLU6dX+XOhZ2BYcuM52GWpcHqTHLz5od8vG5GFAJIYRoUhIQtUG2cUD7V7Fs2bPcqTvnsF9nrmQbgbZB02ll6gd9h/KiOtf0clVqmlp/KFopusSRLV9wqJrpytXqbdtyTmcB4Fd+AW9/37pPtgZEZjPGMd0cnq+5orL2MVv244dk2Q4hhGgW0mXWBpktCnHjozAm/AGA1x8dx963fmG/Z7C6X+dhC4biE1O5p5c3S4+W4llZ4TBDDRpeTfrQ2SLQdyA6QHe5t+N2QWHBQCF5nhcDn5yz6sKuweUldZxVxc9PDWoUBQoLHZ5v/JpDoNHUHLMl44eEEKLZSYaoDZo5IRpjP18oLwcPD+jWjf8Yr1c/lAFPnTqOxbqm19QruwKQ56V+4FsXOr2catJppWog1Dci9DLvxv2Cq4pKFup9qShVq1PnnleLToZYSus/WaOpMfXeGBul/lnYDXZ3YA2IZPyQEEI0G8kQtVVHjqjfu3cHDw+WHC4GjQZPnYYKs4IpKc1WdDE/8zyQzgVPb0oLi/EO8HM5M2Q/YFixWDjkrc68ihrYs9GXBWlugZ07olEsKBoteWfO0bF3N3JyiwADwVRe+gIGgxoMVQVE86oyQ6AOdp//UyrTx9s9G2uXmWSIhBCi2UiGqK06elT93ru3wziVtFduqjFOyBAWgs5iBiA/43yD3s5aHduUlMbZtOMU6P3QWcz8WOLb6MuCNBfrEig6Tw8MZWrXWF6m+ny+z1b/6oR6OJFFs1u+w5SUxry1hx3f56c0xzFbkiESQohmJxmitqoqQ2TqP6nGoN3axgkFlhWT42MgLyubTtHO1Q2yzwrZX/NYuBr8eFoqMW041mh1jZqb/RIowZUXyMef3HO5mJLS2FihzjwL1jvxf4qqgdWmfYXEn0zl3khflqRfHHt0BfmOY7akKKMQQjQ7CYiaUHOuLl9DVYbIHBxC3DU1A5Lqq84HVZaSg4HcrDyn36L6mmnVA61SD32rDYbAMXAM91CrUi9OLeS77FQGVuSyzzOYEF/PS1+oKkNkLi0jbsJQBmeksgRs3XBniiuZeWvUxTFbMqhaCCGanQRETaiuRVYba62welVliGYO9Ic6AhL7NgVZ1HW68nKdr6hcPQCa6FnAV98fBO8ggNoHDLcy1e/xu2wdcROi2f3VGvZ5BhMcUM/CrlZVGaKZvucgNorl8duAQK4sPMUe746c9gvl6rJMRk6+Rj1eMkRCCNHsZAxRE7LO1rIfr9OYa4XVyzqGqFcvpw4P0qiDg/PzLzGNvBr7e7xhZQbHqoIhraJgRtMoRR7dzRgbhQ41e6NR1CAv16LOogupKtpYr2rLd2TlqZXBC3wMRKDOUvv+570Xjz97FtOYKSScbv0lC4QQorWQgKiJGWOjePLqHsQnptJr1ormCYYuXIAzZ9Sfe/d26pSgqlxhbuEFl9/uyesibdPIAR4cEMSR125utCKP7mZKSsOMWktI0Wh48bNfbEUagzs4UYXbblA1wLkidZHYAE8NB73U2lArywMxV1RCURGmobcQP/Y+dFKlWgghmo10mTWDPicOAL4oGg2e2oYXO3TasWPq94AACKln4VE7QV5qbFx9RXdnvP7NLoeKysFd1aUsGqvIozvZZ/R2fpnIz4YefLw/H29vtXp1SJgTz7d6hqhcAS+YHFTJ6GG9mb/uCOd8g9gy/Xm2e4cRP/Y+4jYvxzj3s6a6LSGEENVIhqgZmNLKbD9XWGj6jIndlHtnl34I8lFj47xSs0tvZUpK492tGQD4l1+okRVqjCKP7lK9e/OukV0A8K0opdSzKkPUpeOlL1Q9IDKrz7pjaAAzb+jPoIpcAO7zjyHeK4q4jYsxZm1v5LsRQghRH8kQNbE3vv2NdH2w7XX30rymz5hYizI6OX4IINhfD7mQ50SdQStrwHBTYDk/5HsxoPR8rVmh1pgZAmyVvK3t39clGt/9ByjxvDiQOqizGhDVO2uwWpdZlk49P6yzWsX7+XtGM+WLg1i0WrwUC8YrOsGdi5rqtoQQQtRCMkRNyJSUxtsp6iKnIRfU7ECmhx9PXN3dIYuSUM84G1NSGglVwYXT7DNETgo0qMt25Fmc/5WwBgz9L6jFCnt4qtml1pwVsjez2lgvTy9Ph2AosLQID71XzdXqq7PLECkWC+e81QApLEKdRbY5T8GCBi+dlnKNFtMt02DMmKa5KSGEELWSgKgJmS0KvUrzALg/oJCIovOUe3gyLPuYQ8BgX+XZ3iU/aOtizRC5EBAFVc2WysOJujpVrAHD8Xx1yn73QC/bPmNsVKtdqqMuxtgoHhwQaHsdUlHi3KxBu7XMCrJyKPNQu9s69urqcH7qKze2mYHoQgjR2kiXWRN6cEAgb69RA42bbx7N+c9/YTEdWP/bSf71wC224xyqPGfk8Y+BPvznUAHxu3KJGxaMsUslHDjgeHGNBiIjwbOWAMbFKfcAwR2DgGzydE7U1anmRIUOfKB7eJDL57Y2/7z/atbMWMpp70CO+Xd0btagNUNUWMi5o6cBCCgr5v1tGU5VERdCCNH0JCBqZPbVqVcvT6JSF0i/ggz6jJ5M4S/H4TysK/dDsVjQaC8m6IyxUWSkHee/e7P4ao86hT1u42KMry2r+82uuw5++gnsroOiNCxD1DEYyCZX7+viHcMJnRr09ejdxeVzW6PnBvrweDooGrWb65JBi12XWdapLADCyotqjFGyql5FXAghRNNza5fZu+++y5AhQzAYDBgMBmJiYli1apVtf2ZmJn/6058IDw/Hz8+PESNG8OWXXzpcIycnh3vvvReDwUBQUBAPP/wwRUVFDsfs3r2bsWPH4u3tTUREBK+//nqT3ZN999eKw3kA3NJR7f769rwWndnMSf8O/PM/yQ7dIpmHjpK0v2rJBo0GrcWM8eAaddp8bV86Hfz8M7z7rmMDsrNtg3fp2dPpdgdVzZYq89BTWlB0iaMvKi0oItNPHTTefYDzAVhrltZ7EACeOg3lZsulu7fsuszOVS2NEqaU1RijZK8tdjkKIURL5tYMUbdu3Zg7dy5RUVEoisKnn37Krbfeys6dOxk4cCD3338/eXl5fPfdd3To0IGlS5dy5513sn37doYPHw7AvffeS0ZGBomJiVRUVPDggw/y2GOPsXTpUgAKCgqYOHEi48ePZ+HChezZs4eHHnqIoKAgHnvssUa/J/suD41/BADZUQP4KDGVMZGhaHbuZJOhOyeOnOGzA/kAVJaVszxxN1m+QbbrWLQ6TJ9vrvMDM+HVJehWrsD4zDNw883Qo2pB1qNHMY2ZgtkQyExv57u//EOD0FnMmLU68jLOEW5wogIzcGpfOgABZSUEd2v7S01UHzNkfQ31dG9ZM0RFRWRlFwK+dNRZmqfBQgghnOLWgOiWW25xeP3KK6/w7rvvsnnzZgYOHEhycjLvvvsuv/vd7wB47rnnSEhIYMeOHQwfPpwDBw7w448/sm3bNkaNGgXAW2+9xU033cSbb75Jly5dWLJkCeXl5Xz00Ud4eXkxcOBAdu3aRXx8fJMERKB+MO5L2cPqIj0aReGjvbmMiQwlOT2ba0JDoAKUc+eJu2O47cMU/cWKx9Y1zur7oNX97griC4LU/X/5C6xaBRoNpuSTamG/4xtcarNGqyWorJhsHwO5mdmE93Vu/NHxtJOAhu5leQ5dgG1RbQOonRrzYw2IFIWsnCLw7kSYd9t+VkII0dq0mH+VzWYzy5Yto7i4mJiYGADGjBnD8uXLycnJwWKxsGzZMkpLSxk3bhwAKSkpBAUF2YIhgPHjx6PVatmyZYvtmGuuuQYvr4szoCZNmsShQ4fIzc2ttS1lZWUUFBQ4fLkqskgdK2IdZ7L00dHETYhmQ4WaeUnx7czX32+pcZ71w7a2ddDsGcdHEzc8hPix92EqDIZFizCt2E18hl4de+SZ4XKbgyrVZTvyzuc7fc7xU+qU++7acpffr7Wpb8xPvWUGvL3VLk4gq0gt0hkWoG/StgohhHCN2wdV79mzh5iYGEpLS/H39+frr79mwIABAHz++efcddddhIaG4uHhga+vL19//TV9+vQB1DFGYWFhDtfz8PAgJCSEzKoVwzMzM+lVbbZVp6pVxDMzMwkODqa6OXPm8OKLL17WfSWV+4OXuuK7dZyJMVbtGkz4KY1yDy+OelQFaVXrgFUfoHupwbXGu2LgwEfEj72PBYcqKE8/qQZDyctgwj9dbrNtxfsc5wPAEzkl4AHd/dr+QqT1jempd2C1RqNmiXJzOVehllAIC3GuS1IIIUTzcHuGqG/fvuzatYstW7bw+OOP88ADD7B//34A/vGPf5CXl8dPP/3E9u3biYuL484772TPnj1N2qbZs2eTn59v+zp58qRL55uS0jhUtWjn230qHTI908dH41FVVkiHwt09vW3BUG0DdC81uNb43P14WSop9/DEq7JCDYYMBrjpJtduGgjSqoUV8wqcX/H+RIkarPXoIB/w9arqNsvy9AOgY1iQGxsjhBCiOrdniLy8vGwZn5EjR7Jt2zbmz5/P008/zYIFC9i7dy8DBw4EYOjQoWzcuJG3336bhQsXEh4eTlZWlsP1KisrycnJITw8HIDw8HDOnj3rcIz1tfWY6vR6PXp9w7o0rONMfCtKKfH0plvvLtxw/cVxJpuPZFOpYAuA/nus1LUButXfb/1RyrUeeOk0lOOJac1B9dwGjOexrni/IteDc1UZrdruz36JiuMaHwC6dw+rcaywUzXTLMtfXQw2rJs8LyGEaEncniGqzmKxUFZWRkmJmqXQVvtg1+l0WCzqDJ2YmBjy8vLYsWOHbf/atWuxWCxceeWVtmM2bNhARcXFVdwTExPp27dvrd1ll8tsUXhybA/bEg8R/dXuOmNslG1gddyEaJ64vk+Ncy81bqg6xyrHN6nnJh3G9HN6g9puXfG+rMLsVOVsS6WZkz7qM+zRr0eD3rPdMBgo9fCiwFvNpIX16urmBgkhhLDn1gzR7NmzufHGG+nevTuFhYUsXbqUdevWsXr1avr160efPn34y1/+wptvvkloaCjffPMNiYmJrFixAoD+/ftzww038Oijj7Jw4UIqKip44oknmDJlCl26qEUC77nnHl588UUefvhhZs2axd69e5k/fz4JCQlNck8zJ0STlryLt1CrEQfaLf5pDYaMsVEkVAUyUPtCqJcqytfgGU/1CPbxhHKILMvlmluucLhObe939vBxyj288DBX0rmf81Wx26WAAM5VlVXwqizH0CnUve0RQgjhwK0BUVZWFvfffz8ZGRkEBgYyZMgQVq9ezYQJEwD44YcfeOaZZ7jlllsoKiqiT58+fPrpp9xkNz5myZIlPPHEE8TGxqLVarnjjjswmUy2/YGBgaxZs4Zp06YxcuRIOnTowPPPP99kU+4BTh1Rl2eIKLs4W6v6DKXq44LsAyBnApmmqHIc6K+HHMirgNfsgquENYdQNBrisrZifPdj6PAPGDqU4weOAdD1Qi4eeq96riwwGGzdZR3LCtt8iQIhhGht3BoQffjhh/Xuj4qKqlGZurqQkBBbEca6DBkyhI0bN7rcvoY6eSobCKWb5uJU9AbPUKpDY18PIMjgCzmQq+hs14mvCoY8zJUYP35JPfD4cdi6lRPHzwIGulucH4TdbhkMnPNXuxfDzBfc3BghhBDVyX9Tm8DJnGIAInxb1+MNDlYH/uZXrXj/+je71CnjQKXOA9PcpeDvD9u3w9dfc+KsOj2/h17W3LqkgACy/KoGVGsq3dwYIYQQ1bWuT+xW4mSJOug7ItjHzS1xTVCHQAByPbwxJaXxzma1669b0Xl1wHauAZPxDfXg557jeKE6UL17K7tPt7DPEElNRiGEaHEkIGoCpyzqeJpuXVvXwNmgTmoGI1vvT3xiKtd6qYu8DqLo4gw4cwT33PcaHDjACWtA1FU9z5SURoJ1KRLhyGAgq2oR3I5+Mt5KCCFaGgmImsBJL7UIX0Rk65paHRTeAQCzzoMnx/YgOFddlmNQiPoBbisd0HUgpjFTOBGoVvzuEdm1xpR8UU1AwMUaREG+bm6MEEKI6txemLGtKTibTX5VrZluAyLd3BrX+IUE4mGupFLnwd29fLjfonaFDYzuYjtm6aOjMf24n3jus21bWahnwabUWme9tXcJVUGi0WAgy08dTB1WVaW6epFLIYQQ7iMZokZ26sARAEIuFOAXEujm1rhGo9USVK4OCM84cpojfmrGaGDMEIfjjDcM4F7/QvWForBg00kJhuqg02rUIpe5AZyr6jIL6xwqGTUhhGhhJCBqZCePnAEgoqLQzS1pmKDKUgBStqZi0eoIK8kjLDKixnF/fnASWmpflFZcZBt7dRxbQPRdjq5GkUshhBDuJQFRIzt5JgeAbtrySxzZMgVXrXj/y3l1wPTAyvxaj1t18DwW6l6UVlxkjI3iL/38UbRaUBTe/zVLgiEhhGhhJCBqZKdy1XEi3fxa5/CswKoV73/17QzAoCBdjWMc11C70aX119qr319VFfxIRk0IIVqk1vmp3YKdKlXAEyJC/dzdlAaxrnhf7qEWZxzYu5PD/qZYQ609WHNMLWHgodXYMmrynIQQouWQgKiRnVSqVrnv1sHNLWmYYL1j0nDg7wY4vG6KNdTaOlNSGvOT0mzPzRpUggSPQgjRUkhA1IgUi4WT3kEAdOvTzb2NaaAgH08oU38OLC2i26A+DvubYg21tkwyakII0TpIQNSIck+dpcRLzRB17d/bza1xjbVeToif3hYQDSzPQaPVSr2cyyAZNSGEaB0kIGpEJw8cBaBTSS7eAa1rDJG1Xs7NwQbbtkH+jhkO4TrJqAkhROsgAdFlslUijo3i5LEMwJtuFeoA2taUWanejQNwKjicH6RejhBCiHZApt1fJlsl4qQ0TmXmARDhYW6VlYiNsVHc1+fiOls/5HtJMCSEEKJdkAzRZbLPrAyp1IMHZPgF800rzazETezH4rQdVfVyNK2u/UIIIURDSIaoEViXZ9jtoS7NsIXAVhkMASxOKwKNBg8NlJsVKbYohBCiXZCAqJEYY6PQWdQqzx6a1jlg1n4A9eE5k6UCtRBCiHZDAqJGYlp9ALNWh1dlBZUKrS6IqKtejgRFQggh2gMZQ9QITElpxP98hLiNizHu/QHTl9taXdE9qZcjhBCiPZOA6DLZMivdKjEmL4NRozCOjwaNplUFRVIvRwghRHsmAdFlsmVWtn+lbohWAwvJrAghhBCthwREl8mWWVlySP0efTHTIpkVIYQQonWQQdWNJbWqwnPfvu5thxBCCCFcJgFRY7EGRNEtf5kOIYQQQjiSgKgx5ObCuXPqz1HSTSaEEEK0NhIQNQZrdqhLFwgIcG9bhBBCCOEyCYgag3SXCSGEEK2aBESNQQIiIYQQolWTgKgxHKo55V4IIYQQrYcERI1BptwLIYQQrZoERJfLYoG0qoVPJUMkhBBCtEoSEF2uM2egpAQ8PKBXL3e3RgghhBANIAHR5bKOH+rdGzw93dsWIYQQQjSIBESXS2aYCSGEEK2eWwOid999lyFDhmAwGDAYDMTExLBq1SoAjh07hkajqfXriy++sF3jxIkTTJ48GV9fX8LCwnjqqaeorKx0eJ9169YxYsQI9Ho9ffr04ZNPPmlQexeuS6+5MTUV05gpJPSb1KBrCiGEEML93BoQdevWjblz57Jjxw62b9/O9ddfz6233sq+ffuIiIggIyPD4evFF1/E39+fG2+8EQCz2czkyZMpLy8nOTmZTz/9lE8++YTnn3/e9h5Hjx5l8uTJXHfddezatYsZM2bwyCOPsHr1apfbu+Dnw5iS0hy2mfICiB97H7rQkMt7GEIIIYRwG42iKIq7G2EvJCSEN954g4cffrjGvuHDhzNixAg+/PBDAFatWsXNN9/MmTNn6NSpEwALFy5k1qxZnDt3Di8vL2bNmsXKlSvZu3ev7TpTpkwhLy+PH3/80ak2FRQUEBgYyGvf/so7yWeI61qJsasZ02kd8ac9iNu4GOMrf4Fx4y7/AQghhBCiUVg/v/Pz8zEYDPUe22LGEJnNZpYtW0ZxcTExMTE19u/YsYNdu3Y5BEopKSkMHjzYFgwBTJo0iYKCAvbt22c7Zvz48Q7XmjRpEikpKXW2paysjIKCAocvgKnjIonrUk78aQ+ik7UXg6HkZTKGSAghhGjF3B4Q7dmzB39/f/R6PVOnTuXrr79mwIABNY778MMP6d+/P2PGjLFty8zMdAiGANvrzMzMeo8pKCjgwoULtbZpzpw5BAYG2r4iIiJs+4yDAvGyVFLu4YmXpRKj5iT8/e/qwq5CCCGEaJXcHhD17duXXbt2sWXLFh5//HEeeOAB9u/f73DMhQsXWLp0aa3daE1h9uzZ5Ofn275Onjxp22dSIijXeuCl01Ku9cD04sfwyivN0i4hhBBCNA0PdzfAy8uLPn36ADBy5Ei2bdvG/Pnzee+992zH/O9//6OkpIT777/f4dzw8HC2bt3qsO3s2bO2fdbv1m32xxgMBnx8fGptk16vR6/X19i+cF26OoZoQjTG2ChMSWnEJ6rT7o2xUa7cthBCCCFaELdniKqzWCyUlZU5bPvwww/5/e9/T8eOHR22x8TEsGfPHrKysmzbEhMTMRgMtm63mJgYkpKSHM5LTEysdZzSpSz4+bAtGAI1CIqbEE18YmqN2WdCCCGEaD3cmiGaPXs2N954I927d6ewsJClS5eybt06hynxhw8fZsOGDfzwww81zp84cSIDBgzgT3/6E6+//jqZmZk899xzTJs2zZbhmTp1KgsWLODpp5/moYceYu3atXz++eesXLnS5fY+cV2fGpkg62uzpUVN1hNCCCGEC9waEGVlZXH//feTkZFBYGAgQ4YMYfXq1UyYMMF2zEcffUS3bt2YOHFijfN1Oh0rVqzg8ccfJyYmBj8/Px544AFeeukl2zG9evVi5cqVzJw5k/nz59OtWzcWLVrEpEmuF1KcOi6y1u3SXSaEEEK0bi2uDlFL5EodAyGEEEK0DK2yDpEQQgghhLtIQCSEEEKIdk8CIiGEEEK0exIQCSGEEKLdk4BICCGEEO2eBERCCCGEaPckIBJCCCFEuycBkRBCCCHaPQmIhBBCCNHuuX21+9bAWsy7oKDAzS0RQgghhLOsn9vOLMohAZETsrOzAYiIiHBzS4QQQgjhquzsbAIDA+s9RgIiJ4SEhABw4sQJ2wO94oor2LZtW4Ovebnnt4Q2FBQUEBERwcmTJxu8xps8h8ZrR2t5lpd6Xu3lOdRH/m7VvEZDn0lLeA6NcQ35u9Ww8/Pz8+nevbvtc7w+EhA5QatVh1oFBgbafsl0Ot1lffhd7vktpQ0ABoOhwdeR59B47Whtz7Ku59XenkN95O9WzWu4+kxawnNojGvI363LO9/6OV7vMQ1pkIBp06a59fyW0obLJc/hopZwH9KGltOGy9VWnkNbaENjXEPa0HhtqItGcWakUTtXUFBAYGAg+fn5jfK/vrZCnotKnoNr5HldmjyjmuSZXJo8o5pceSaSIXKCXq/nn//8J3q93t1NaVHkuajkObhGntelyTOqSZ7JpckzqsmVZyIZIiGEEEK0e5IhEkIIIUS7JwGREEIIIdo9CYhEo9JoNHzzzTfuboYQQogq8u+ycyQgAv785z9z2223ubsZLcaf//xnNBpNja/Dhw+7u2nNxvoMpk6dWmPftGnT0Gg0/PnPf27+hrUCKSkp6HQ6Jk+e7O6mtBjy+3Rp8u+w8+RZNQ0JiEStbrjhBjIyMhy+evXq5e5mNauIiAiWLVvGhQsXbNtKS0tZunQp3bt3v6xrV1RUXG7zWqwPP/yQJ598kg0bNnDmzJnLupbZbMZisTRSy9yrKX+fhBCXTwKian788UeuvvpqgoKCCA0N5eabbyY9Pd22/9ixY2g0Gr766iuuu+46fH19GTp0KCkpKW5sdePT6/WEh4c7fOl0Or799ltGjBiBt7c3vXv35sUXX6SystLh3IyMDG688UZ8fHzo3bs3//vf/9x0F5dnxIgRRERE8NVXX9m2ffXVV3Tv3p3hw4fbtjn7O7N8+XKuvfZavL29WbJkSbPeS3MpKipi+fLlPP7440yePJlPPvnEtm/dunVoNBpWrlzJkCFD8Pb2ZvTo0ezdu9d2zCeffEJQUBDfffcdAwYMQK/Xc+LECTfcSeNrrN+n66+/nieeeMLh2ufOncPLy4ukpKSmv5Fm0LNnT+bNm+ewbdiwYbzwwgu21xqNhkWLFnH77bfj6+tLVFQU3333XfM2tAVw5lkJ50hAVE1xcTFxcXFs376dpKQktFott99+e43/pT777LP87W9/Y9euXURHR3P33XfXCAzamo0bN3L//fczffp09u/fz3vvvccnn3zCK6+84nDcP/7xD+644w5+++037r33XqZMmcKBAwfc1OrL89BDD/Hxxx/bXn/00Uc8+OCDDsc4+zvzzDPPMH36dA4cOMCkSZOapf3N7fPPP6dfv3707duX++67j48++qjGKtNPPfUU//73v9m2bRsdO3bklltucciYlZSU8Nprr7Fo0SL27dtHWFhYc99Gk2mM36dHHnmEpUuXUlZWZjtn8eLFdO3aleuvv755bqSFePHFF7nzzjvZvXs3N910E/feey85OTnubpZorRShPPDAA8qtt95a675z584pgLJnzx5FURTl6NGjCqAsWrTIdsy+ffsUQDlw4EBzNLfJPfDAA4pOp1P8/PxsX3/84x+V2NhY5dVXX3U49j//+Y/SuXNn22tAmTp1qsMxV155pfL44483S9sbi/V3IisrS9Hr9cqxY8eUY8eOKd7e3sq5c+eUW2+9VXnggQdqPbeu35l58+Y14x24x5gxY2z3WVFRoXTo0EH5+eefFUVRlJ9//lkBlGXLltmOz87OVnx8fJTly5criqIoH3/8sQIou3btava2N6XG/H26cOGCEhwcbHtmiqIoQ4YMUV544YXmuJUmY//vcI8ePZSEhASH/UOHDlX++c9/2l4DynPPPWd7XVRUpADKqlWrmqG17tWQZ/X11183W/taK1nctZq0tDSef/55tmzZwvnz523/Kztx4gSDBg2yHTdkyBDbz507dwYgKyuLfv36NW+Dm8h1113Hu+++a3vt5+fHkCFD2LRpk0NGyGw2U1paSklJCb6+vgDExMQ4XCsmJoZdu3Y1S7sbW8eOHW1dP4qiMHnyZDp06OBwjLO/M6NGjWrWtje3Q4cOsXXrVr7++msAPDw8uOuuu/jwww8ZN26c7Tj734+QkBD69u3rkEH08vJy+PvVljTG75O3tzd/+tOf+Oijj7jzzjv59ddf2bt3b7vsLrL/PfHz88NgMJCVleXGFonWTAKiam655RZ69OjBBx98QJcuXbBYLAwaNIjy8nKH4zw9PW0/azQagDYz+BPUf1z69OnjsK2oqIgXX3yRP/zhDzWO9/b2bq6mNbuHHnrINmbj7bffrrHf2d8ZPz+/Zmmvu3z44YdUVlbSpUsX2zZFUdDr9SxYsMDp6/j4+Nj+TrVFjfH79MgjjzBs2DBOnTrFxx9/zPXXX0+PHj2a7R6amlarrdHVWttEBPt/h0H9t7gt/TvsDGeflbg0CYjsZGdnc+jQIT744APGjh0LwC+//OLmVrUcI0aM4NChQzUCpeo2b97M/fff7/DaftBoa3PDDTdQXl6ORqOpMfZHfmdUlZWVfPbZZ/z73/9m4sSJDvtuu+02/vvf/9qyp5s3b7bNqsrNzSU1NZX+/fs3e5vdpTF+nwYPHsyoUaP44IMPWLp0qUsBZ2vQsWNHMjIybK8LCgo4evSoG1vUcsmzajwSENkJDg4mNDSU999/n86dO3PixAmeeeYZdzerxXj++ee5+eab6d69O3/84x/RarX89ttv7N27l5dfftl23BdffMGoUaO4+uqrWbJkCVu3buXDDz90Y8svj06ns3Xp6HQ6h33yO6NasWIFubm5PPzwwwQGBjrsu+OOO/jwww954403AHjppZcIDQ2lU6dOPPvss3To0KFd1VRprN+nRx55hCeeeAI/Pz9uv/32Jm93c7r++uv55JNPuOWWWwgKCuL555+v8ayESp5V45FZZqhdXR4eHmi1WpYtW8aOHTsYNGgQM2fOtP0jLmDSpEmsWLGCNWvWcMUVVzB69GgSEhJqpOpffPFFli1bxpAhQ/jss8/473//y4ABA9zU6sZhMBgwGAw1tsvvjOrDDz9k/PjxNYIhUAOi7du3s3v3bgDmzp3L9OnTGTlyJJmZmXz//fd4eXk1d5PdqjF+n+6++248PDy4++6720SXtfXfYYDZs2dz7bXXcvPNNzN58mRuu+02IiMj3dzClkOeVdOQ1e5RU9h9+vRpc2lnIVqSdevWcd1115Gbm0tQUJC7m9PqHTt2jMjISLZt28aIESPc3ZzLJv8OO0+eVdNo1xmi3NxcVqxYwbp16xg/fry7myOEEJdUUVFBZmYmzz33HKNHj271wZD8O+w8eVZNq12PIXrooYfYtm0bf/3rX7n11lvd3RwhhLikTZs2cd111xEdHd1qq8Dbk3+HnSfPqmlJl5kQQggh2r123WUmhBBCCAESEAkhhBBCSEAkhBBCCNFuAqI5c+ZwxRVXEBAQQFhYGLfddhuHDh1yOKa0tJRp06YRGhqKv78/d9xxB2fPnrXt/+2337j77ruJiIjAx8eH/v37M3/+fIdrZGRkcM899xAdHY1Wq2XGjBnNcXtCCCGEuAztJiBav34906ZNY/PmzSQmJlJRUcHEiRMpLi62HTNz5ky+//57vvjiC9avX8+ZM2cc1u3asWMHYWFhLF68mH379vHss88ye/Zsh1oQZWVldOzYkeeee46hQ4c26z0KIYQQomHa7Syzc+fOERYWxvr167nmmmvIz8+nY8eOLF26lD/+8Y8AHDx4kP79+5OSksLo0aNrvc60adM4cOAAa9eurbFv3LhxDBs2jHnz5jXlrQghhBDiMrWbDFF1+fn5AISEhABq9qeiosKh2FW/fv3o3r07KSkp9V7Heg0hhBBCtE7tsjCjxWJhxowZXHXVVQwaNAiAzMxMvLy8aiwp0KlTJzIzM2u9TnJyMsuXL2flypVN3WQhhBD/v737CWn6j+M4/pr7aaSlYUgz+6MdDKIaJhQKHbQ/DlrUJQqCtRDCclGpdJAgO9hIUMIgOqUd+kNENQj00KYHo0MIotOKLmOXZXZYMaKZ0w7BYL/qR/xwM/Z5Po7vz2efvT+3F9/v57MBaWRkIGpublYwGNTIyMj/XiMYDOrQoUO6fPmy9u/fv4jdAQCATDPulZnH49GzZ880NDSkdevWJes2m02zs7OKRqMp86enp2Wz2VJqU1NT2rNnj06dOqVLly5lom0AAJBGxgSihYUFeTwePXnyRIFAQBUVFSnj1dXVys3Nld/vT9bevn2rcDismpqaZG1yclJ1dXU6ceKEOjs7M9Y/AABIH2NemTU3N+vevXvy+XxauXJl8lxQUVGRli9frqKiIjU2NqqlpUXFxcUqLCzU2bNnVVNTk7xhFgwGVV9fr4aGBrW0tCTXsFqtKikpSX7X2NiYJCkWi2lmZkZjY2PKy8vTli1bMrtpAADwR4y5dm+xWH5Z7+vrk9vtlvTjhxlbW1t1//59xeNxNTQ06ObNm8lXZh0dHbpy5cpPa2zcuFGhUOg/v+vfcwAAwN/DmEAEAADwO8acIQIAAPgdAhEAADAegQgAABiPQAQAAIxHIAIAAMYjEAEAAOMRiAAAgPEIRAAAwHgEIgBZwe12y2KxyGKxKDc3V2vWrNG+fft0+/Ztzc/P//E6/f39WrVqVfoaBfBXIhAByBoOh0ORSEShUEgDAwOqq6vTuXPn5HQ6NTc3t9TtAfiLEYgAZI1ly5bJZrOprKxMO3bsUHt7u3w+nwYGBtTf3y9J6unp0bZt21RQUKD169frzJkzisVikqTh4WGdPHlSnz59Sj5t6ujokCTF43G1tbWprKxMBQUF2rVrl4aHh5dmowAWHYEIQFarr6+X3W7X48ePJUk5OTnq7e3V5OSk7ty5o0AgoIsXL0qSamtrdf36dRUWFioSiSgSiaitrU2S5PF49PLlSz148EDj4+M6cuSIHA6H3r17t2R7A7B4+HNXAFnB7XYrGo3q6dOnP40dO3ZM4+Pjmpqa+mns0aNHampq0sePHyX9OEN0/vx5RaPR5JxwOKxNmzYpHA5r7dq1yfrevXu1c+dOXb16ddH3AyCz/lnqBgAg3RYWFmSxWCRJz58/l9fr1Zs3b/T582fNzc3p69ev+vLli/Lz83/5+YmJCSUSCVVWVqbU4/G4Vq9enfb+AaQfgQhA1nv9+rUqKioUCoXkdDp1+vRpdXZ2qri4WCMjI2psbNTs7OxvA1EsFpPVatXo6KisVmvK2IoVKzKxBQBpRiACkNUCgYAmJiZ04cIFjY6Oan5+Xt3d3crJ+XGE8uHDhynz8/LylEgkUmpVVVVKJBL68OGDdu/enbHeAWQOgQhA1ojH43r//r0SiYSmp6c1ODgor9crp9Mpl8ulYDCob9++6caNGzp48KBevHihW7dupaxRXl6uWCwmv98vu92u/Px8VVZW6vjx43K5XOru7lZVVZVmZmbk9/u1fft2HThwYIl2DGCxcMsMQNYYHBxUaWmpysvL5XA4NDQ0pN7eXvl8PlmtVtntdvX09OjatWvaunWr7t69K6/Xm7JGbW2tmpqadPToUZWUlKirq0uS1NfXJ5fLpdbWVm3evFmHDx/Wq1evtGHDhqXYKoBFxi0zAABgPJ4QAQAA4xGIAACA8QhEAADAeAQiAABgPAIRAAAwHoEIAAAYj0AEAACMRyACAADGIxABAADjEYgAAIDxCEQAAMB4BCIAAGC875JyIbvGtZTxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots()\n",
    "\n",
    "df_NaN_forward['sp500'].plot(color = 'r')\n",
    "df_NaN['sp500'].plot(marker = 'x')\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('Price level with NaN')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bc294ce5-2259-4075-a7e0-de6583a8b71e",
   "metadata": {},
   "source": [
    "## 向后"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ff52f1e7-c7a9-4d16-a6a8-9362bf605918",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_NaN_backward = df_NaN.bfill()\n",
    "# bfill() is equivalent to fillna(method='bfill')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "10c16b94-c47c-4bf5-bd6f-08a9ac610fd0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots()\n",
    "\n",
    "df_NaN_backward['sp500'].plot(color = 'r')\n",
    "df_NaN['sp500'].plot(marker = 'x')\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('Price level with NaN')\n",
    "plt.show()\n",
    "\n",
    "#%% interpolation\n",
    "\n",
    "# If you are dealing with a time series that is growing at an increasing rate, method='quadratic' may be appropriate.\n",
    "# If you have values approximating a cumulative distribution function, then method='pchip' should work well.\n",
    "# To fill missing values with goal of smooth plotting, consider method='akima'."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee53488f-ad2a-4ee6-a947-ab31eb0649ac",
   "metadata": {},
   "source": [
    "## 线性插值"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "8d730665-9413-4ce4-bfa2-0b3249605176",
   "metadata": {},
   "outputs": [],
   "source": [
    "df_NaN_interpolate = df_NaN.interpolate()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "60095e9c-3931-4460-bb53-30e004f6b098",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axs = plt.subplots()\n",
    "\n",
    "df_NaN_interpolate['sp500'].plot(color = 'r')\n",
    "df_NaN['sp500'].plot(marker = 'x')\n",
    "plt.xlabel('Date')\n",
    "plt.ylabel('Price level with NaN')\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
